From: Martin Muldoon
Subject: Lee Lorch Conference
SPECIAL FUNCTIONS AND RELATED TOPICS IN ANALYSIS
A Conference in Honour of Lee Lorch
York University, North York, Ontario, Canada
Friday and Saturday, June 9 - 10, 1995
Contents:
Introduction
Speakers and titles
Tentative Timetable
How to register
Local and travel information
Accommodation
Organizing Committee
Registration and Accommodation forms
Introduction
The Conference will be devoted to those topics in analysis (Fourier
Analysis, Summability Theory, Special Functions, Ordinary
Differential Equations, ...) to which Lee Lorch has made particular
contributions. It will also honour his lifelong dedication to the
struggle for civil rights and for decent educational opportunities
for women and minority groups.
The conference will follow the 50th Anniversary Meeting of the
Canadian Mathematical Society to be held at the University of
Toronto during June 4-8 and will precede the Fields Institute
Miniprogram "Special functions, q-Series and Related Topics"
to be held at the University of Toronto during June 12-23 and the
CMS Annual Seminar (Topic: Partial Differential Equations) to be
held at the University of Toronto during the same period.
Speakers and Titles
Mark Ashbaugh (University of Missouri), "Properties of Bessel
Function Zeros Related to Isoperimetric Inequalities for
Eigenvalues of Membranes and Plates.
Richard Askey (University of Wisconsin), "Bessel functions and how
to use them when considering more general
classes of functions".
Chandler Davis (University of Toronto), TBA
James A. Donaldson (Howard University), ``The Linear Shallow Water
Theory and Dirichlet-Neumann Operators''.
Arpad Elbert (Hungarian Academy of Sciences), TBA
Mary Gray (American University), "Including the Excluded: Lee
Lorch's Contributions to Expanding Access to Mathematics".
Mourad Ismail (University of South Florida),
"Integral operators and q-Sturm-Liouville problems".
Jean-Pierre Kahane (Universite de Paris - Orsay), "Summability,
order and products of Dirichlet series".
Amram Meir (York University), "The expected value of a quantity
related to searches on random trees".
A. McD. Mercer (University of Guelph), On "deleting a row and
column" from a differential operator.
Angelo Mingarelli (Carleton University), TBA
Donald J. Newman (Temple University), TBA
P. G. Rooney (University of Toronto), "On the Hankel
transformation".
Mark Pinsky (Northwestern University), "Pointwise convergence of
the Fourier integral and related orthogonal expansions in several
vvariables"
Dennis Russell (York University), TBA
Cora Sadosky (Howard University), "Restricted BMO in product
spaces".
Walter Van Assche (Katholieke Universiteit Leuven),
"Zeros of orthogonal polynomials and eigenvalues of matrices".
Roderick Wong (University of Manitoba and City University of Hong
Kong), "Asymptotics and Special Functions"
Tentative Timetable
Friday, June 9:
9:15 Opening
9:30 Askey
10:30 break
11:00 Sadosky
12:00 Rooney
12:30 Lunch
2:00 Van Assche
2:30 Mingarelli
3:00 Mercer
3:30 break
4:00 Ashbaugh
4:30 Ismail
5:00 Donaldson
5:30 Elbert
6:30 Reception
Saturday, June 10:
9:00 Wong
10:00 Russell
10:30 break
11:00 Kahane
12:00 Pinsky
12:30 Lunch
2:00 Newman
3:00 Meir
3:30 break
4:00 Davis
4:30 Gray
6:00 Dinner
How to register
Send the form at the end of this announcement to arrive by May 22.
Location:
The main sessions will be in Vari Hall, Lecture Hall D.
Registration will in Vari Hall Room 2009.
___________________________
The organizing committee consists of
Mourad Ismail (U. of South Florida),
David Masson (U. of Toronto),
Martin Muldoon (York U.),
Roderick Wong (Manitoba and City University of Hong Kong) and
Asia Ivic Weiss (York U.).
For further information, please contact muldoon@mathstat.yorku.ca.
Updated information on the program and other arrangements is
available on th World Wide Web:
http://www.math.yorku.ca/Conferences/LL80/menu.html
REGISTRATION
Name
Address
Tel
Fax
e-mail
Amount enclosed:
Faculty members with grants ($60) ____________
Faculty members without grants ($40) ____________
Students, Retired, Unemployed ($20) ____________
Dinner, Jun 10 ($25 per person) ____________
TOTAL ENCLOSED ____________
Make cheques payable to York University
Mail to
Martin E. Muldoon
Department of Mathematics & Statistics
York University
North York, Ontario M3J 1P3, Canada
Tel (416) 736-5350
fax (416) 736-5757
e-mail: muldoon@mathstat.yorku.ca.
From: Primrose Miranda
Subject: Survey Paper
SURVEY PAPER REQUIREMENT FOR M.A. DEGREE
Jabina Ng will speak on "Markov chains applied to an Inventory Control Problem"
on Thursday, May 4, 1995 at 11:00 a.m. in N538 Ross.
From: "George O'Brien"
Subject: Stats Section Meeting
The meeting is now scheduled for 3:00 p.m. on Tuesday, 9 May in N627. Let me
know if that causes any problems.
From: "George O'Brien"
Subject: Agenda of meeting of the Stats Section
The meeting at 3:00p.m. on next Tuesday now has a second item on the
agenda, namely to consider the computing situation.
(The previous item was hiring priorities.)
From: "Neal Madras"
Subject: Probability seminar
Professor Ildar Ibragimov will give a probability seminar on May 5 at 10:30
in N638 Ross, with the title:
"Bahadur efficiency in estimation theory".
From: "Primrose Miranda"
Date: Fri, 12 May 1995 15:22:29 -0400
Subject: Seminar Talk
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
Angela Amoroso will give a talk entitled:
An Introduction to Regression Graphics
on Friday, May 19, 1995 10:30a.m. in N638 Ross
ABSTRACT
Graphs are an important tool used to visualize the relationship (dependence) of
a response variable on one or more covariates. R-code, short for regression
code, is a statistical software programe written in Luke Tiernay's Xlisp-stat
language. It provides us with many unique graphical tools that help us
understand a problem better. We will look at how R-code uses graphics to
determine appropriate transformations of both the response variable and the
covariates. If time and space permits, the last 10-15 minutes will be in N604
Ross for a hands on look at R-code's capabilities.
From: "J.H. Wu"
Date: Thu, 18 May 95 16:40:10 EDT
A special seminar talk by
Xingfu Zou
Place: N638R
Time: 3:00-4:00 pm, Friday, May 19, 1995.
Title: Allee Effect And Hopf Bifurcation
In Single Species Population Over A Patch Environment
Abstract: A system of functional differential equations is proposed
to describe the dynnamics of a single-species population
distributed over a patch environment. Allee effect is taken
into consideration, which claims that increased population
levels are advantageous at low densities but disadvantageous
at high densities. Of major concern is Hopf bifurcation of
periodic solutions including phase-locked oscillations and
synchronous oscillations which are shown to bifurcate from a
homogeneous equilibrium when the time delay reaches a critical
value. The stability of the bifurcated periodic solutions is
also reported. It is exhibited that the nonlinear interactions
(local and nonlocal) have a complex impact on the dynamics and
the spatio-temporal patterns of the considered system, and in
particular that Allee effect could induce the aforementioned
oscillations.
From: "Primrose Miranda"
Date: Fri, 26 May 1995 15:15:55 -0400
Subject: Graduate Seminar
SEMINAR REQUIREMENT FOR MASTER'S STUDENTS
Jianrong Wu will speak on
APPROXIMATIONS TO NONCENTRAL DISTRIBUTIONS on
Monday, May 29, 1995 at 10:00 a.m. in N638 Ross
ABSTRACT
Two methods for approximating the distribution of a noncentral random variable
by a central distribution in the same family are presented. The first consists
of relating a stochastic expansion of a random variable to a corresponding
asymptotic expansion for its distribution function. The second approximates
the cumulant generating function and is used to provide central chisquare and
gamma approximations to the noncentral chisquare and gamma distributions.
STATISTICS STUDENTS ARE EXPECTED TO ATTEND
From: "Primrose Miranda"
Date: Mon, 19 Jun 1995 16:02:54 -0400
Subject: Seminar Requirement
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
Jianrong Wu will give a talk entitled:
A MODEL OF THE BEHAVIOR OF STOCK PRICES
on
Wednesday, June 21, 1995 at 2:00 p.m. in N638 Ross
ABSTRACT
We introduce a plausible Markov Stochastic process for the behavior of a stock
price over time. The process is widely used in the valuation of derivative
securities. It is known as geometric Brownian motion.
We also discuss a binomial model as a discrete time model for stock prices, and
monte carlo simulation.
ALL STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Thu, 22 Jun 1995 09:31:36 -0400
Subject: Ph.D. Oral Exam
ARTUR TOMITA
will defend his Ph.D. Dissertation entitled
COUNTABLE COMPACTNESS AND RELATED PROPERTIES IN GROUPS AND
SEMIGROUPS: FREE ABELIAN GROUPS AND THE WALLACE PROBLEM
ON
Friday June 30, 1995 at 2:00 p.m. in S136 Ross
From: FS300016@Sol.YorkU.CA
Date: Fri, 23 Jun 1995 15:15:24 -0500 (EST)
Subject: Combined APMA - EATS seminar
To: faculty@mathstat.yorku.ca
Following is the abstract for the seminar to be held in 317 Petrie on
June 29 at 2:30pm
THE GENERALIZED LAGRANGIAN FORMULATION OF COMPUTATIONAL FLUID DYNAMICS
Professor W.H. Hui
The Hong Kong University of Science and Technology
Abstract
Most existing work in CFD use the Eulerian formulation in which the
computational cells are fixed in space while fluid particles move across
cell boundaries, causing severe numerical diffusion. On the other hand,
computational cells in the classical Lagrangian formulation are literally
fluid particles and hence, when severe distortion of fluid particles
occurs, the finite-difference approximations no longer resemble the
original equations.
A Generalized Lagrangian Formulation has been developed which uses
streamlines and their orthogonals as coordinate lines. Consequently, the
convective flux and severe cell distortion are both avoided. In
application to the 2-D steady supersonic Euler equations of gas dynamics,
it is shown to possess the following advantages: (a) it resolves
sliplines crisply, (b) it resolves shocks crisply, (c) it is most robust,
accurate and efficient and, (d) it requires no grid generation when solid
boundaries are present. Extensions to 3-D steady supersonic flow and to
2-D unsteady flow are also discussed.
From: "Primrose Miranda"
Date: Fri, 30 Jun 1995 10:56:57 -0400
Subject: Ph.D. Oral Exam
JIAMING SUN
will defend his Ph.D. dissertation entitled
LARGE DEVIATIONS AND EXPONENTIAL CONVERGENCE FOR RANDOM SEQUENCES
on
Friday, July 7, 1995 at 1:00 p.m. in S128 Ross
From: "Primrose Miranda"
Date: Wed, 5 Jul 1995 09:19:07 -0400
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
ANGELA AMOROSO
will give a talk entitled
TRIMMED MEAN OR SAMPLE MEDIAN?
on
Thursday, July 6, 1995 at 3:00 p.m. in N638 Ross
ABSTRACT
In an article written by J. Oosterhoff we will look at comparing
trimmed means and sample medians as estimates of a location parameter of
symmetric distributions.
STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
Date: Wed, 5 Jul 1995 09:41:00 -0400
From: "Neal Madras"
Subject: Probability seminars
Two probability seminars are scheduled this week (today and Friday):
Wednesday, July 5: Tetsuya Hattori (Utsunomiya University) and
Kumiko Hattori (University of Tokyo): "The
self-avoiding walk on the Sierpinski gasket"
1:30 - 3:00 p.m., in 2005 Vari Hall
(The talk will be in two parts: Tetsuya will speak for 40 minutes,
then we'll have a 10 minute break, and then Kumiko will speak for
40 minutes.)
Friday, July 7: Amir Dembo (Stanford University): "Tail estimates
for one-dimensional random walk in random
environment"
10:30 a.m. in N638 Ross Building
From: "Primrose Miranda"
Date: Wed, 5 Jul 1995 09:52:57 -0400
Subject: Seminar
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
CHARLES LAM
will give a talk entitled
LOCALLY WEIGHTED LIKELIHOOD ANALYSIS
on
Wednesday, July 12, 1995 at 10:00 a.m., in N638 Ross
ABSTRACT
In this seminar we discuss how locally weighted likelihood analysis can be
applied in the time series and spatial settings. The time series setting is
considered in Gilchrist (1967) and a spatial setting is considered in
Brillinger (1991). Examples in Maximum weighted likelihood will be given based
on the Gilchrist paper.
STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Fri, 1 Sep 1995 15:25:18 -0400
Subject: Dissertation Subject Oral Exam
The Dissertation Subject Oral Exam of Mr. Xingfu Zou entited "Travelling Waves
in Delayed Lattice Differential Equations and Reaction-Diffusion Equations"
will be held on September 6, 1995 at 3:00 p.m. in N638 Ross.
>
>
1.Importance of the project:
>
Reaction-diffusion equations (RDE's) and lattice differential equations
> (LDE's) have found a considerable amount of
> interest in recent years. RDE's arise naturely in a variety of models from
> theoretical physics, chemistry and biology, e.g., the dynamics of nuclear
> reactors,
> chemical reactions in distributed media and combustion theory, ecological
> interactions in spatially distributed populations, motion of bacteria by
> chemotaxis, nerve pulse propagation, models from neurophysiology and
> population genetics.
> LDE's can be viewed as the discretization of
> RDE's along a lattice, and also have been proposed
> as models in various contexts, e.g., for population genetics where spatially
> discrete populations of disploid individuals are considered, and for
> conduction in myelinated nerve anxons.
>
> Among the various aspects of RDE's and LDE's is the phenomenon of traveling
> wave solutions which account for the propagation of the patterns (waves),
> and thus, is of great importance in understanding the established models
> and in
> designing a practical system. Taking systems of excitable cells in
> neurophysiology and cardiophysiology as examples, it is often the case that
> propagation failure leads to the failure of the systems, and in the case of
> the cardiac action potential, this can be fatal.
>
> Most of the works so far on traveling waves for RDE's and LDE's ignore the
> presence of time delay in reaction terms. But time delays always
> exist in reality. For example, animals need time to grow mature,
> resources once consumed
> take time to recover, and neurons also take time to respond to signals due to
> finite speed of the signals.
>
>
>
2. Previous works:
>
The proposed aim of this dissertation is to investigate the traveling waves
> for $\underline{systems}$ of RDE's and LDE's
> $\underline{with\,\,\, delay.}$
> For scalar RDE without delay, the problem
> has been thoroughly attacked using phase plane techniques: a minimal speed
> has
> been found explicitly in terms of the roots of an algebraic equation of
> degree 2. For scalar RDE with delay, there is an excellent pioneer work by
> K.W. Schaaf [Trans. Amer. Math. Soci. {\bf 302}(1987) 587-615 ]
> which obtains several similar results: the minimal speed is
> proven to exist, even though it can not be expressed explicitly due to the
> transcendence of the characteristic equations caused by time delay.
One of the major technical tools in Schaaf's paper is the phase plane
analysis, but this
> technique can not be applied to systems of RDE's.
> There has been few works on some specific systems of dimension 2
> (without delay), using comparison method, degree approach and Conley index,
> etc.. A newly published monigrapg [ Aizik I. Volpert, Vitaly A. Volpert and
> Vladimir A. Volpert: Traveling Wave Solutions of Parabolic Systems ]
> systematically attacks this problem
> for general systems without delay, by introducing a modification of
> Leray-Schauder degree. Taking into account the
> time delay, there has been no work on the existence
> and/or non-existence of traveling wave solutions of systems of RDE's
and LDE's,
> to the best of my knowledge. Moreover,the stability of RDE's and LDE's
has not been attacked at all.
>
> As far as LDE's are concerned, the corresponding wave equations become
> functional differential equations of mixed type for which no fundamental
> theory
> is available yet, and again, no phase plane can be used in this case. Thus
> LDE's are actually much harder to deal with. Little work has been done on
> theexistence of traveling wave solutions for LDE's without delay, not to
> mention LDE's in the presence of delay.
>
>
>
3. Aim of the project:
This dissertation plans to study the
> existence and/or
> non-existence and the stability of traveling wave solutions for
> $\underline{systems}$ of RDE's
> and LDE's $\underline{with \,\,\,delay}$. The comparison and monotonicity
> methods, and the topological degrees will be developed to tackle
the problem, and the applications of the general theory to
some physical systems and
> population systems in heterogeneous evironments, and to neural networks etc.
> will be persuaded.
>
From: "A. Ivic Weiss"
Date: Tue, 5 Sep 1995 11:22:40 -0400
Subject: Geometry Seminar
GEOMETRY SEMINAR
Tuesday, September 12, 1995, 4 p.m. N638 Ross
Professor Ludwig Danzer, University of Dortmund
Title: A space filler of Euclidean 3-space not tiling space
periodically or quasi-periodically
From: Elliott Pearl
Subject: Topology Seminar
Date: Tue, 5 Sep 95 13:33:22 EDT
Monday, September 11, 1995
at 12 noon in N638 Ross
Ulrich Heckmanns (Mathematisches Institut der Universitaet Muenchen)
On the topology of partial-order valued ultrametric spaces.
This year the Topology seminar will usually be held Fridays at noon.
All are welcome to attend.
The seminar's WWW home page can be found at the department's home page,
http://www.math.yorku.ca/, by selecting Seminars and Colloquia, then Topology.
From: Elliott Pearl
Subject: Topology seminars
Date: Thu, 14 Sep 95 21:34:02 EDT
Friday, September 22, 1995 at noon in N638R
George Delistathis (York University)
A regular space with a countable network and different dimensions, pt. 1.
Our speaker will continue the next week here.
The speaker will also be giving two talks at UofT on the same subject.
The York talks will cover the easier points of the construction, while the
UofT talks will cover, independently, the more difficult and lengthy bits.
From: "Primrose Miranda"
To: grads@mathstat.yorku.ca, faculty@mathstat.yorku.ca
Subject: Seminar requirement for M.A. degree
CHARLES LAM
will be giving a talk entitled
COMPARISONS OF APPROXIMATE CONFIDENCE INTERVALS
FOR DISTRIBUTIONS USED IN LIFE-DATA ANALYSIS
on Thursday, September 21 at 10:00 a.m. in N638 Ross
ABSTRACT
In this seminar, the accuracy of approximate confidence intervals for
parameters and quantiles of the small extreme value and normal distributions
will be discussed. The interval estimates are based on (a) the asymptotic
normality of the maximum likelihood estimator (b) the asymptotic X squared
distribution of the likelihood ratio (LR) statistic, (c) a mean and correction
to the signed square roots of the LR statistic, and (d) the Bartlett correction
to the Bartlett correction to the LR statistic. Since these methods also apply
to the Weibull and the lognormal distributions, an example will be given in the
lognormal distribution. Finally, a study design is also provided for comparing
all these methods for estimating the confidence intervals.
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE SEMINAR
From: Man Wah Wong
Subject: Analysis Seminar
Date: Mon, 18 Sep 95 22:32:15 EDT
Speaker: Gheorghe Mihai Iancu
(York University)
Title: Global Solutions of Semilinear Evolution Equations in Hilbert Spaces
Date: Thursday, September 21, 1995
Time: 3:00 p.m.
Place: N638 Ross
From: "Huaxing Xia"
Date: Mon, 18 Sep 1995 22:51:21 -0400
Subject: Dynamical Systems Seminar
The following are the abstracts of the two talks which will
given on Tuesday, September 26, 1996, THE FIRST DAY OF
DYNAMICAL SYSTEMS SEMINAR.
**************************************************************
* Competition in a Chemostat: *
* The Effect of Delayed Response in Growth *
*
*
* Gail S. K. Wolkowicz, McMaster University *
* 10:00-10:50, N638, Ross Bldg. *
***************************************************************
The chemostat, a laboratory apparatus used for the continuous
culture of microorganisms will be described. After first
considering the basic mathematical model for $n$ species of
microorganisms competing exploitatively for a growth-limiting
nutrient, under the simplifying assumption that growth based on
consumption occurs instantaneously, two different approaches that
include the effect of delayed response to growth are considered.
The first approach assumes a discrete time delay and the model
involves functional differential equations and the second approach
assumes a distributed time delay and involves integro-differential
equations. What is known about the global dynamics of the various
models will be discussed and then the implications for applying these
results in ecology will be explored.
---------------------------------------------------------------------
---------------------------------------------------------------------
******************************************************************
* Uniform Persistence and Periodic Coexistence *
* States in Periodic Semiflows with Appliactions *
*
*
* Xiao-Qiang Zhao, Academia Sinica *
* 11:00-11:50, N638, Ross Bldg. *
*******************************************************************
A central problem in population dynamics is to study the asymptotic
behavior of the model systems. Uniform persistence(or permanence)
characterizes the long-term coexistence of interacting species. In this
talk, we will first give a brief review of persistence theory in biological
dynamical systems. Then we will focus on the uniform persistence and
repellors and periodic coexistence in infinite-dimensional periodic
semiflows. Under a general abstract setting, we prove that the uniform
persistence of a periodic semiflow is equivalent to that of its associated
Poincare map, and that the uniform persistence implies the existence
of a periodic coexistence state. This result, as we will illustrate,
also provides a dynamical approach to some static problems. As appliactions,
we will discuss some global behaviors of the periodic Kolmogorov two species
reaction-diffusion systems and, if time permits, a periodic competitor-
competitor-mutualist parabolic system.
Date: Wed, 20 Sep 1995 13:03:54 -0400
From: "Neal Madras"
Subject: Probability seminar
There will be a Probability Seminar on Friday, September 22, at 1:30 p.m.
in N638 Ross Building. The speaker will be V. Statulevicius, who will
speak on "Problems of Large Deviations with Non-normal Approximation"
(joint work with A. Aleskeviciene, both of the Lithuanian Academy of Science).
From: Man Wah Wong
Subject: Analysis Seminar
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Date: Mon, 25 Sep 95 0:00:38 EDT
Speaker: Gheorghe Mihai Iancu
(York University)
Title: Asymptotic Behaviour of Global Solutions of Semilinear Evolution
Equations in Hilbert Spaces
Date: Thursday, September 28, 1995
Time: 2:00 p.m.
Place: 225 Bethune College
From: "Debbie Keltz"
Date: Fri, 22 Sep 1995 13:37:08 -0400
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca, webmaster@mathstat.yorku.ca
Subject: COLLOQUIUM NOTICE
Professor Jason Levy
of
Oklahoma State University
will speak on
"Algebraic Number Theory and the Langlands Programme"
Place: N203 Ross
Date: October 5, 1995
Time: 4:00 p.m. - 5:00 p.m.
ABSTRACT
Number theory has experienced great strides in recent years, most strikingly
with the recent proof of Fermat's Last Theorem by Wiles. Much of this progress
fits into a general framework known as the Langlands program. We will discuss
the progress of algebraic number theory from Gauss's quadratic reciprocity to
class field theory to the Langlands program.
Refreshments will be served in N620 Ross at 3:30 p.m.
From: Nantel Bergeron
Subject: Algebra Seminar
To: faculty@mathstat.yorku.ca (All dept faculty)
Date: Tue, 26 Sep 95 15:14:16 EDT
Everyone is invited to our new Algebra Seminar.
Tentativaly it will be every Monday at 3:30 PM
in the Seminar room N638 Ross.
Our first speakers are:
R. G. Burns and Y. Medvedev (York U.)
Groups Satisfying Positive Laws
Monday October 2, in room 638 North Ross, 3:30 p.m.
Abstract: Every abelian group A satisfies the law xy=yx
(for all x,y in A). This law is called positive (or semigroup)
since no negative power of the variable x, y are involved.
Mal'cev showed that in fact any group which is an extension of a
nilpotent group by a group of finite exponent (that is,
satisfying x^n = 1 for some integer n > 0) satisfies some
positive law u=v where u,v are words in the variables
x, y, z, ... not involving any of the negative powers
x^{-1}, y^{-1}, z^{-1}, ...
QUESTION: Is the converse true: must every group satisfying
a positive law be nilpotent-by-finite exponent?
We describe some progress on this and a related question
of Bergman.
From: "Neal Madras"
Upcoming probability seminar at York University:
Friday, Oct. 6: John Verzani (York University): "IBM, SIBM and IBS"
1:30 p.m. in N638 Ross Building
Abstract: In this talk I will introduce iterated Brownian motion (IBM), the
model for super iterated Brownian motion (SIBM) and a construction of SIBM
via the Iterated Brownian snake (IBS).
From: Man Wah Wong
Subject: Analysis Seminar
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Date: Sun, 1 Oct 95 0:20:05 EDT
Speaker : Dr. Jingzhi Tai
(University of Toronto)
Title : The Explicit Solution of the Neumann Problem for the Cauchy-Riemann
Operator on the Non-Isotropic Siegel Domain
Date : Friday, October 6, 1995
Time : 4:30 p.m.
Place : N638 Ross
Abstract: The Neumann problem for the Cauchy-Riemann operator on (0,q) forms
in the strictly pseudoconvex non-isotropic Siegel domain is solved. The metric
used on this domain is invariant under the action of the Heisenberg group in
which the non-isotropic dilations are built in. The fundamental solution of
the related differential equation is derived using the Laguerre calculus. An
explicit formula for the kernel of the Neumann operator is given.The solution
of the corresponding heat equation is constructed by calculating the heat
kernel. The fundamental solution of the Laplace operator on the Heisenberg
group is also obtained.
From: "Xiaomin Dong"
Subject: Category Seminar
Title: Span --| Map adjointness in preordered categories
Speaker: Xiaomin Dong
Place: Room N638 Ross Building
Time: 2:30--3:30pm
Date: October 5, 1995
From: "Israel Kleiner"
Seminar in History and Philosophy of Mathematics and Mathematics
Education
Professor Judy Pelham, Department of Philosophy, York University
RUSSELL'S PROGRESS TOWARD "PRINCIPIA MATHEMATICA"
Date: Friday, October 13, 1995
Time: 3:00-4:00 p.m.
Place: N638 Ross
ABSTRACT
In 1901 Bertrand Russell discovered the famous paradox of the set of
all sets that are not members of themselves. This discovery
presented a formidable obstacle to Russell's plan to prove arithmetic
reducible to logic. For approximately the next five years Russell,
together with Alfred N. Whitehead, worked to find a solution to the
"Contradiction" (as they called it) that did NOT employ a typed
theory of logic. In this talk I explain the origin of this paradox
in Russell's logic, and outline his various attempts to resolve it.
I then go on to discuss in more detail one of Russell's lesser known
attempts which he called "The substitution theory".
From: "David Promislow"
Date: Tue, 3 Oct 1995 11:40:21 -0400
Subject: Automatic group seminar
The Automatic group seminar will be continuing. The time is Wed. 2:00 to 3:00, in N638.
The first meeting will be on Wed. Oct. 11. Bob Burns will be speaking on Braid
Groups.
From: "Debbie Keltz"
Subject: COLLOQUIUM NOTICE
Professor Doris Schuttschneider
of
Bethlehem, Pennsylvania
will speak on
"Ingenious Mathematical Amateurs: M.C. Escher (artist) and
Marjorie Rice (homemaker)"
Place: N203 Ross
Date: October 12, 1995
Time: 4:00 p.m. - 5:00 p.m.
ABSTRACT
It is generally believed in the mathematical community that it is impossible
today for someone without formal credentials in mathematics to engage in
mathematical research or to make any contributions to mathematics. Yet there
are subjects with open problems that need no accumulated mathematical arsenal
to understand and to attack. It is even possible that someone innocent of
training may have fresh insight that leads to fruitful results. I offer two
recent examples to illustrate this phenomenon-one the well-known Dutch graphic
artist, M.C. Escher, and the other an unknown San Diego homemaker, Marjorie
Rice. Each tackled problems that ask which types of shapes can tile the plane,
and in what manner. It is illuminating to see how each made the mathematical
problems their own, asking questions in a way that made sense to them, without
particularly caring how mathematicians might approach the problem. Each
developed an unorthodox notation that was an essential ingredient of their
methodical investigations. Each worked alone, essentially in secret, rewarded
by the exhilaration of finding some answers to a large puzzle. It is
interesting to contrast their questions and methods with those of
mathematicians and scientists who have investigated similar questions. The
professionals can learn something from amateurs.
Refreshments will be served in N620 Ross at 3:30 p.m.
From: Augustine Wong
Subject: Joint Econ & Stats Seminar
Hi,
The second joint Economics & Statistics Seminar for this term will be
held 2 weeks from now:
Speaker: Professor Steven Marron (University of North Carolina)
Title: Band Width Selection
Time: 4:00pm to 5:30pm
Date: Wednesday, October 18, 1995
Place: 1063 Vari Hall
Hope to see you there.
From: Augustine Wong
Subject: Stats Seminar Oct 13
Hi,
Finally we will have our first statistics seminar for this
term on Oct 13, 1995 (next Friday). Our speaker is Professor
Georges Monette. Enclosed is the latex file of the abstract
and the detailed date, time and place of the seminar.
Hope to see you there.
In the mean tiem, I would invite all faculty members/visitors/graduate
students to contribure a talk or to suggest a speaker. Please
let me know as soon as possible.
Professor Georges Monette
Department of Mathematics and Statistics
will speak on
"Is there a role for statisticians in pay equity?"
Friday, October 13, 1995, 10:30 a.m., N638 Ross
ABSTRACT
In studying a salary structure for the purposes of pay equity, the
statistician is expected to help produce gender-neutral measures of the
value of jobs and to estimate the shape and size of the gap between
salaries of women and men for work of comparable value.
The statistician is expected to provide an "objective and unbiased"
component to a very complex process that is otherwise fraught with
potential biases and subjective elements.
Unfortunately, when real salary data are analyzed with modern
statistical tools, they reveal many features that produce more
questions than answers. As statisticians, we feel we must have
an important role to play but we often face the dilemma that what
we can offer is very different from what is expected.
In this talk I will discuss some of my experiences analyzing
real salary data. I will look at a number of questions arising
in pay equity, such as:
gender-neutral job value: how can statistics help?
the importance of understanding basic regression
diagnostic plots and their often troubling revelations
factor analysis and regression: a problematic interaction
visualizing conditional effects: presenting 2-dimensional pictures of higher-dimensional phenomena
From: Man Wah Wong
Subject: Colloquium
Professor Y. T. Chan
Department of Electrical and Computer Engineering
Royal Military College, Kingston
will speak on
THE WAVELET TRANSFORM
Place: N638 Ross Building
Date: Friday, October 13, 1995
Time: 1:30 p.m.
ABSTRACT
Transformation of a signal from one domain to another can often reveal
properties that are not apparent in the original domain. For example, the
Fourier transform (FT) finds the spectral properties of a function of time
and has a wide use in sciences and engineering. When the spectrum of a
function changes with time, it is necessary to keep track of the changes
and the short time Fourier transform (STFT) is an adaptation of the FT for
this purpose.
The recent introduction of the wavelet transform (WT) provides an
alternative to the STFT for time-frequency analysis. Its major difference
from the STFT is in the dilation of a function of time before
transformation. It can also provide a constant-Q analysis where the ratio
of the frequency resolution to the centre frequency is a constant.
I'll discuss the principles and properties of WT, its relationship to
multiresolution analysis, and conclude with some application examples in
electrical engineering.
Refreshments will be served in N620 Ross Building at 2:30 p.m.
Please make note of the changes in day, time, place of the talk and
refreshments.
From: Nantel Bergeron
Everyone is invited to our Algebra Seminar
in the Seminar room N638 Ross.
Our speaker:
Y. Medvedev (York U.)
Groups Satisfying Positive Laws (Part II)
Monday October 16, in room 638 North Ross
ABSTRACT
We continue to talk on groups satisfying a positive law.
We will discuss how one could come to the main conjecture on
a structure of groups satisfying a positive law.
We talk on relations with Rings theory, Lie theory, results
of Gromov-Milnor on growth functions in groups, local and global
theorems for groups, and Engel groups.
From: "Neal Madras"
Upcoming probability seminar at York University:
Friday, Oct. 20: Gleb Haynatzki (McMaster University): "A Birth and a Death
Process in a Random Environment" (see abstract below)
1:30 p.m. in N638 Ross Building
Thursday, Nov. 16: Murad S. Taqqu (Boston University): "On-Off Models for
Generating Long-Range Dependence" (see abstract below)
4:00 p.m. location T.B.A.
(Department Colloquium; refreshments at 3:30 p.m. in N620 Ross)
ABSTRACT for G. Haynatzki:
The linear death and the linear birth processes with constant
parameters are classical models in the theory of continuous time Markov
chains. Here we shall consider these processes in a "random environment".
This term designates the situation when a stochastic process Y(t)
developing independently influences a second process X(t), which is
dependent on Y(t); in most cases this means that the independent process
is in fact a parameter of the dependent one.
To solve the above two problems, we first derive the Kolmogorov
forward equations for the state probabilities of the processes. Then we
transform these equations to equations for the Laplace transforms and
represent them in matrix form. In the case of the death process, we solve
the equations recursively so that the solution is in an easily inverted form.
In the case of the birth process, we use the p.g.f. approach and derive a
formal solution in terms of Laplace transforms.
ABSTRACT for M. Taqqu:
Consider an alternating renewal process whose interrenewal times have
an infinite variance. A reward, proportional to the length of a
renewal, is offered. The constant of proportionality alternates between
1 ("on") and 0 ("off"). That constant of proportionality (reward)
is thus 1 throughout a renewal, then 0 throughout the next
renewal, then 1 again, and so on. The aggregation of many such
renewal reward processes converges in distribution, after time
renormalization, to fractional Brownian motion, a Gaussian process with
long-range dependence. We will explain why this is so.
From: "Debbie Keltz"
Subject: Colloquium Notice
Professor Dieter Pumpluen
of
Fern Universitat and York University
will speak on
Superconvex Sets and Banach Spaces
Place: N203 Ross Building
Date: October 19, 1995
Time: 4:00 p.m. - 5:00 p.m.
ABSTRACT
Countably convex or superconvex sets in linear topological spaces are a natural
generalization of convex sets. There are numerous examples of superconvex sets
in mathematics. For investigating the structure of superconvex sets one
intruduces superconvex modules, i.e. sets admitting countably convex
combinations but which are not necessarily subsets of linear spaces. There
exists a close connection between this theory and the theory of base normed
Banach spaces.
Refreshments will be served in N620 Ross at 3:30 p.m.
From: Elliott Pearl
Subject: topology seminar
Friday, October 20, 1995 at 12 noon in N638
Camilo Costantini (Univ. Torino) speaks on
some generalizations of compact and totally bounded metric spaces.
From: "Israel Kleiner"
Subject: Seminar in History and Philosophy of Mathematics and Mathematics Education
Professor Israel Kleiner
Department of Mathematics and Statistics, York University
will give a talk on
THE GENESIS OF THE ABSTRACT RING CONCEPT
Date: Friday, October 27, 1995
Time: 3:00-4:00 p.m.
Place: N638 Ross Bldg.
ABSTRACT
The notion of a ring emerged as a central concept of algebra in the early decades of the 20th century,
but its origins date back to the first half of the 19th century. I will describe highlights of this
evolving process.
From: "Huaxing Xia"
Subject: Second Day of Dynamical Systems Seminar
Dear Colleages:
On October 31 (Tuesday), the last day of this month, we will have
our second meeting of the dynamical systems and applications seminar. There
will be two talks in the morning, followed by
no-host lunch and informal discussions in the afternoon. Professor Bill
Langford, the Chair of the
Department of Mathematics and Statistics of University of Guelph, will first
speak from 10:10-11:00am
on some recent generalizations and applications of the Hopf bifurcation
theorem. From 11:10-12:00am
Mr. Xingfu Zou of York will talk on convergence (global stability) results in
analog neural network models.
The seminar will take place at Ross S125. We look forward to seeing
you there.
From: Nantel Bergeron
Everyone is invited to our Algebra Seminar
in the Seminar room N638 Ross.
Our speaker:
H. D. Pumpluen (Visiting York U.)
Convex Modules
Monday October 23, in room 638 North Ross, 3:30 p.m.
Abstract: There are many types of convex sets, which are used in
mathematics, as e.g. convex, absolutely convex, (countably) convex,
totally convex sets etc. For any of these types of convex sets there
is a corresponding type of convex module, which is a canonical
generalization of the respective classical case. Convex modules of
certain types are used in economics and physics. Any of the above
mentioned types of convex modules has a canonical and close
connection to types of linear spaces used in functional analysis.
In the two lectures at first a short sketch about the development of
the theory of convex modules is given. Then selected results on the
connection to functional analysis and structure theorems are discussed.
P.S. The first lecture is the Coloquium Talk.
From: "Nantel Bergeron"
Subject: Algebra Seminar: D. Pumplum (Part II)
Everyone is invited to our Algebra Seminar
in the Seminar room N638 Ross.
Our speaker:
H. D. Pumplum (Visiting York U.)
Convex Modules (Part II)
Monday October 30, 3:30 PM in room 638 North Ross
Abstract: There are many types of convex sets, which are used in
mathematics, as e.g. convex, absolutely convex, (countably) convex,
totally convex sets etc. For any of these types of convex sets there
is a corresponding type of convex module, which is a canonical
generalization of the respective classical case. Convex modules of
certain types are used in economics and physics. Any of the above
mentioned types of convex modules has a canonical and close
connection to types of linear spaces used in functional analysis.
In the two lectures at first a short sketch about the development of
the theory of convex modules is given. Then selected results on the
connection to functional analysis and structure theorems are discussed.
The (Part I) was Monday Oct. 23, In Part II some example will be worked out.
From: "Neal Madras"
Upcoming probability seminars at York University:
Friday, Nov. 3: Jeffrey S. Rosenthal (University of Toronto):
"Optimal scaling for Langevin algorithms"
(see abstract below)
1:30 p.m. in N638 Ross Building
Monday, Nov. 13: Dana Randall (Institute for Advanced Study, Princeton):
"Markov Chain Algorithms for Planar Lattice Structures"
(see abstract below)
1:30 p.m. in N638 Ross Building
Thursday, Nov. 16: Murad S. Taqqu (Boston University): "On-Off Models for
Generating Long-Range Dependence" (see abstract below)
4:00 p.m. location T.B.A.
(Department Colloquium; refreshments at 3:30 p.m. in N620 Ross)
---------------------------------------------------------------------------
ABSTRACT for J. Rosenthal:
Phillips and Smith (1994) and Roberts and Tweedie (1995) have proposed
the use of discrete approximations to Langevin diffusions in the
proposal step of the Metropolis-Hastings algorithm. However, it is
unclear what discrete time scaling should be used. We prove that, for
certain target distributions, it is optimal to have the discrete time
intervals scale as $n^{-1/3}$ in dimension $n \to \infty$, with a
prescribed asymptotic acceptance probability of exactly 0.574....
This complements a similar result of Roberts, Gelman, and Gilks (1994)
for random-walk Metropolis algorithms. It is proved by establishing
weak convergence (in the Skorokhod topology) of the algorithms to an
underlying continuous-time diffusion, and maximizing the speed of this
diffusion.
This is joint work with G.O. Roberts.
---------------------------------------------------------------------------
ABSTRACT for D. Randall:
Consider the following Markov chain, whose states are all
domino tilings of a n x n chessboard: starting from
some arbitrary tiling, pick a 2 x 2 window
uniformly at random. If the four squares appearing
in this window are covered by two parallel dominoes, rotate
the dominoes in place. Repeat many times. This process is
used in practice to generate a random tiling, and is a key
tool in the study of the combinatorics of tilings and the
behavior of dimer systems in statistical physics. Analogous
Markov chains are used to randomly generate other structures
on various two-dimensional lattices, such as Eulerian
orientations and three-colorings. We present techniques which
prove for the first time that, in many interesting cases, a small
number of random moves suffice to obtain a uniform distribution.
Joint work with Michael Luby and Alistair Sinclair.
From: Man Wah Wong
Subject: Colloquium
Professor S. T. Ali
Department of Mathematics and Statistics
Concordia University
will speak on
COHERENT STATES: MATHEMATICAL ASPECTS AND PHYSICAL APPLICATIONS
Place: N203 Ross Building
Day and Date: Thursday, November 2, 1995
Time: 4:00 p.m.
ABSTRACT
Coherent states were originally discovered by Schrodinger, as a family of
minimal uncertainty states in quantum mechanics, which were useful in
studying the transition from quantum to classical dynamics. They were
later rediscovered in quantum optical studies of coherent photon beams, as
states of the quantized electromagnetic field which behave almost
classically. Using the group theoretical properties of these states, it is
possible to generate entire families of other similar quantum states which
have useful applications in atomic and nuclear physics. Mathematically,
the existence of coherent states is related to a property of "square
integrability" of the underlying group representation, and it is an
intrinsically interesting problem to study such representations.
Furthermore, using these representations, one can arrive at various
transforms which generalize the usual Fourier transform. Such generalized
transforms have wide ranging applications to problems in signal analysis,
image processing and the theory of quantization.
Refreshments will be served in N620 Ross Building at 3:30 p.m.
From: "Israel Kleiner"
Subject: Seminar in History & Philosophy of Math & Math Educ.
Professor Abe Shenitzer
Department of Mathematics & Statistics, York University
will give a talk on
A FEW EXPOSITORY BRIEFS
Date: Friday, November 10 , 1995
Time: 3:00 - 4:00 p.m.
Place: N638 Ross Bldg
Last-minute changes (if any):
If there's nothing below this line there are no new changes.
From: Elliott Pearl
Subject: topology seminar
Friday, November 3, 1995 at 12 noon in N638 Ross
Camillo Costantni (Univ. Torino) continues to speak on
some generalizations of compact and totally bounded metric spaces.
From: "Nantel Bergeron"
Subject: Algebra Seminar: J. McCool (U of T)
Everyone is invited to our Algebra Seminar
in the Seminar room N638 Ross at 3:30 PM.
Our speaker:
J. McCool (U of T)
The non-finite presentability of IA(F3) and GL2(Z[t,t^{-1}])
(joint work with Sava Krsti\'c)
Monday November 6, 3:30 PM in room 638 North Ross
Abstract: Let Fn be a free group of rank n, with basis x1, x2, ..., xn,
and denote by IA(Fn) the subgroup of the automorphism group A(Fn) of
Fn consisting of those automorphisms of Fn which induce the identity
on the commutator quotient group Fn/Fn'. It was showns by Magnus,
using earlier work of Nielsen, that IA(Fn) has a finite generating
set {x_ij, x_ijk : 1 <= i,j,k <= n; i<>j,k; jE2(L). Then H is not finitly
presentable.
Our talk will discuss the proofs of (generalizations of) these two
results.
From: "Walter Tholen"
Subject: Lecture series
Announcement of a Lecture Series:
Prof. Joan Wick Pelletier (york University) will give a series of four or five
lectures on
Involutive quantales and applications to analysis,
starting on Thursday, November 9, 2:30 - 3:30 pm, in N638 Ross.
Everybody is welcome to attend.
Abstract: In the study of quantales arising naturally in the theory of
C*-algebras and their representations, involutive quantales have emerged as the
basic setting. We shall introduce the notion of a quantale and discuss in
detail various subcategories of involutive quantales. In particular we shall
study those quantales that arise in defining a notion of spectrum of a
non-commutative C*-algebra. These quantales are called Gelfand quantales. We
shall also study two classes of quantales, called von Neumann quantales and
Hilbert quantales, that arise in the quantization of the calculus of relations.
We shall define a weak spectrum of a von Neumann algebra and show that it
is always a von Neumann quantale. Finally, we shall explore the importance of
Hilbert quantales in defining the concept of point of a quantale.
From: Augustine Wong
Subject: Stats Seminar Nov 10
On Nov 10, 1995, Professor Helene Massam will give a statistics seminar
on "Covariance estimation in lattice conditional independence models".
Enclosed is the abstract and the detail time and place of the seminar
(in latex format). Hope to see you there.
Friday, November 10, 1995
10:30 a.m.
N638 Ross
ABSTRACT
The lattice conditional independence model is the set of all normal
distributions $N(0,\Sigma)$ on $ R^{I}$ such that for every pair $ L,M \in
\cal K$ ,$x_{L} \mbox{ and } x_{M}$ are conditionally independent given
$x_{L \cap M}$.
Here $ \cal K$ is a ring of subsets of a finite index set $I,\ x_{K}$ is the
coordinate projection of $ x \in R^{I} \mbox{ onto } R^{K} $.This model was
first considered by Andersson and Perlman who gave a rather lengthy
procedure for obtaining the maximum likelihood estimate of $ \Sigma $.
We propose an iterative method for obtaining the m.l.e. of $ \Sigma $ \ based
on the following property.
If $ A,B,C $ form a decomposition of the graph $\cal G $ ,then
\[
{\Sigma_{A \cup B \cup C}}^{-1} = {[{ \Sigma_{A \cup C}}^{-1}]}^{0} +
{[{ \Sigma_{B \cup C}}^{-1}]}^{0} - {[{ \Sigma_{C}}^{-1}]}^{0}
\]
where $ [A]^0 $ is the matrix obtained from A by adding suitable blocks of
zeroes to satisfy the dimension requirements of the matrix.
From: "Walter Tholen"
Subject: Algebra Seminar
The next talk in the
ALGEBRA SEMINAR
will be given by Prof. K. Bugajska (York University)
on Monday, November 13, at 3:30pm, in N638Ross.
Title: Cyclic cohomology - physical motivations
Abstract:
We sketch some fundamental problems in theoretical physics
and show why we must use cyclic cohomology.
Everybody is welcome to attend.
From: Augustine Wong
Subject: Joint Econ. & Stats Seminar
Speaker: Prof. Rene Garcia (U. of Montreal)
Title: Asymmetric Effects of Monetary Policy
Place: 1154 Vari Hall
Time: 4:00pm to 5:30pm
Date: Nov 16, 1995 (Thursday)
See you there.
From: Man Wah Wong
Subject: Analysis Seminar
Gheorghe Mihai Iancu
Department of Mathematics and Statistics
York University
will speak on
Semilinear Wave Equations and Weyl Quantizations
Place: N638 Ross Building
Day and Date: Friday, November 17, 1995
Time: 4:00 p.m.
ABSTRACT
The existence, uniqueness and regularity of global solutions of semilinear
wave equations in Hilbert spaces are proved, and then used to establish
the existence of the dynamics of nonlinear systems modelled by
pseudo-differential operators of the Weyl type. A novelty of the result
is that the pseudo-differential operators need not be self-adjoint. The
important special case corresponding to a self-adjoint pseudo-differential
operator of the Weyl type, i.e., an observable in relativistic quantum
mechanics, is a corollary of this new result.
From: Augustine Wong
Subject: Stats Seminar - Nov 24
Hi,
Prof. Tibshirani is going to give a talk on Nov 24, 1995.
The abstract and detail time and place are enclosed in the
latex file.
Please let me know if you would like to join us for lunch.
STATISTICS SEMINAR
Professor Robert Tibshirani
Department of Statistics
University of Toronto
will speak on
Regression shrinkage and selection via the lasso
Friday, November 24, 1995
10:30 a.m.
N638 Ross
ABSTRACT
I will discuss a new method for estimation and model selection in linear and
generalized linear models. The ``lasso'' minimizes the residual sum
of squares subject to the sum of the absolute value of the coefficients
being bounded by a constant. Because of the nature of this constraint
it tends to produce some coefficients that are exactly zero and hence
gives interpretable models. Our simulation studies suggest that the
lasso enjoys some of the favourable properties of both subset selection
and ridge regression. It produces interpretable models like subset
selection and exhibits the stability of ridge regression.
The lasso idea is quite general and can be applied to many models: I will
illustrate applications to logistic regression, the proportional hazards model
and tree-based models.
From: "Walter Tholen"
Subject: Seminar Talk
I'll give a talk in the Category Seminar on
"Tychonoff's Theorem sixty years later"
on Thursday, November 16, 1:00 - 2:00 pm, in N638Ross.
Abstract:
In the first half of the talk we present a new proof of the Tychonoff Theorem
for compact spaces without any reference to categories. In the second half
we'll explain the categorical nature of the proof and apply it back to
topology. As a consequence we recognize that, for example, the Chevalley-Frink
product theorem for H-closed spaces and the Frolik-Bourbaki product theorem for
perfect maps are in fact easy corollaries of the Tychonoff Theorem.
From: "Israel Kleiner"
Subject: Seminar in History & Philosophy of Math and Math Educ
Professor Kurt Ramskov
Department of History of Science, University of Aahrus, Denmark
will give a talk on
THE FORGOTTEN BOHR
Date: Friday, November 24, 1995
Time: 3:00 - 4:00 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
The Danish mathematician Harald Bohr (1887-1951) was well known in the international mathematical
community in the period 1925-1950. Today he tends to disappear in the shadow of his great brother Niels
Bohr.
In this talk I will discuss some of his early mathematical works and his strong reaction in the 1930s
against "Deutsche Mathematik", which was an attempt to force mathematics to be done according to the
Nazi ideology.
From: Man Wah Wong
Subject: Colloquium
Professor Peter C. Greiner
Department of Mathematics
University of Toronto
will speak on
Hamiltonian Mechanics
and
Fundamental Solutions for Subelliptic Operators
Place: N203 Ross Building
Date and Place: Thursday, November 23, 1995
Time: 4:00 p.m.
An abstract of Professor Greiner's talk is now available upon request, and
refreshments will be served in N620 Ross Building at 3:30 p.m. on November
23, 1995.
From: "Nantel Bergeron"
Subject: Algebra Seminar: N. Bergeron (York)
Nantel Bergeron (York)
Descent Algebra I
Monday November 20, 3:30 PM in room 638 North Ross
Abstract: In this first talk, we introduce the descent algebra
of a Coxeter group W. We will focus our attention on the
minimal idempotents of those algebras.
In a second talk, we will look at results and conjectures
related to the W-representation afforded by these idempotents.
The "descent algebra" idempotents play an important role in
mathematics. For example "they" were hidden in last week talk:
"they" are essential in the decomposition of cyclic homology
for commutative algebras :)
From: Man Wah Wong
Subject: Analysis Seminar
Professor Sid Scull
Department of Computer Science and Mathematics
Atkinson College
York University
will give a series of talks on
Group Representations and Wavelets
Place: N638 Ross Building
Day and Date: Friday, November 24, 1995
Time: 4:00 p.m.
ABSTRACT
Wavelets have found applications in signal analysis, data compression and
quantum mechanics. Wavelet theory can be considered as harmonic analysis
on non-commutative groups. This series of talks is a survey of the group
representation background of wavelet theory. It is intended to be
accessible to graduate students with some analysis and geometry
background, and non-experts in wavelets. The following topics, depending
on the background, time and energy of the speaker and audience, will be
covered.
1) Unitary representations of groups, the regular representations, the
discrete series and inversion formulas. (Examples will first be drawn from
analysis on familiar groups, such as R, the circle group and SO(3).
Analysis on the affine and Heisenberg groups, which are central to the
theory of wavelets, will then be studied.)
2) Methods of constructing irreducible representations, induced
representations, vector bundles and the Mackey machine; holomorphic
induction; representations of compact groups.
3) Manifolds and Lie groups, symplectic manifolds, co-adjoint orbits and
coherent states; the Bargmann-Fock representation.
4) Discrete wavelet transforms, discrete subgroups, the Weil-Berezin
transform; wavelets and representations of finite groups.
From: "Huaxing Xia"
Subject: Third Day of Dynamical Systems
Dear Colleagues:
Have you heard of " the 3x+1 Problem"? Is it merely a conjecture in
Number Theory or it has
something to do with Chaos? Do you know how a harmonic oscillator can be "
inharmonic"? Does
the time delay involved account for its complexity?
If you are interested in these questions, please come to our
The Third Day of Dynamical Systems Seminar at York University
Time: \ge 10:00am, Friday, December 8, 1995
Place: Room 300, Administrative Studies
Bldg.
On this day, Dr. Sue Ann Campbell of Waterloo will speak (10:10am-11:00am) on "
Resonant Hopf
Bifurcation in a Delay Differential Equation" and Dr. Marc Chamberland of
McMaster will talk (aimed
at a general audience) on " A Dynamical Systems Approach to the 3x+1 Problem".
Detailed abstracts
of these two morning talks will be sent to you in a separate message.
The Seminar will continue with informal discussions in the afternoon
after non-host lunch.
H. Xia and J. Wu
From: "Neal Madras"
Subject: Probability seminar Nov 24
Friday, Nov. 24:
Amram Meir (York University):
"Degree distribution in families of weighted rooted plane trees"
1:30 p.m. in N638 Ross Building
ABSTRACT:
% plain tex document
Let $\cal F$ denote the family of all rooted plane trees and ${\cal F}_n$
the subfamily of those trees in $\cal F$ which have $n$ nodes. Given
an infinite sequence $\Gamma=\{c_1,c_2,\dots\}$ of non-negative numbers,
we assign weights (to be specified in terms of the sequence $\Gamma$) to
each tree $T$ in $\cal F$. Corresponding to the choice of the sequences
$\Gamma$ we obtain an infinite number of weighted families. Particular
examples are: labelled trees, binary trees, trees with only odd degrees,
etc.
It was shown (Meir-Moon, 1992) that for all these weighted families the
following holds: If $N_m(T)$ denotes the number of nodes of degree $m$
in $T$, then
$$ E[ N_m(T):T\in{\cal F}_n ] \sim p_m n, $$
as $n\to\infty$, where the constants $p_m$ depend on the sequence $\Gamma$,
and $m=O(\log n)$. Now the following question arises: If $L_k(T)$ is
the average number of nodes on level $k$ in a typical such tree, is it true
that asymptotically, $p_m L_k(T)$ of them will be of degree $m$?
We (Meir-Sos) show that this is indeed the case for all important values of
$k$ and $m$. Moreover, we show that (with reasonable conditions) one
can prescribe the asymptotic probabilities $p_m$ and define the corresponding
sequence $\Gamma$.
\end
From: "Neal Madras"
Subject: Probability seminar Nov 27
Monday, Nov. 27:
Valentin V.Petrov
(St. Petersburg University, Russia and University of Guelph):
"On strong limit theorems for sums of random variables"
1:30 p.m. in N638 Ross Building
ABSTRACT:
Some results will be presented on the strong law of large numbers and
the law of the iterated logarithm for sums of random variables. Special
attention will be paid to sequences of independent identically
distributed random variables. In particular, a generalization of the
Marcinkiewicz-Zygmund theorem on the strong law of large numbers is
obtained.
From: "Nantel Bergeron"
Subject: Algebra Seminar: N. Bergeron II (York)
Everyone is invited to our Algebra Seminar
in the Seminar room N638 Ross at 3:30 PM.
Our speaker:
Nantel Bergeron (York)
Descent Algebra II
Monday November 27, 3:30 PM in room 638 North Ross
Abstract: In this second talk, we will study the representation
produced by minimal idempotents of the descent algebras.
we will look at results and conjectures
related to the W-representation afforded by these idempotents.
From: "Peter Peskun"
Date: Thu, 23 Nov 1995 14:14:14 -0500
To: stats.section@mathstat.yorku.ca
Subject: Hiring Committee
Section Meeting
With respect to our international search for a statistician, I would
like to call a meeting of the members of the Statisics Section
(Wednesday, Dec. 6, 10:30 a. m., N627R) for the purpose of choosing a
Hiring Committee.
Peter Peskun
From: "Walter Tholen"
Date: Wed, 22 Nov 1995 15:31:04 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca
Subject: Lecture series
REMINDER
Prof. Joan Wick Pelletier (York University) will give the second of a
series of four or five lectures on
Involutive quantales and applications to analysis
Thursday, November 23, 1:30 - 2:30 pm, in N638 Ross.
**************
Everybody is welcome to attend.
Abstract: In the study of quantales arising naturally in the theory of
C*-algebras and their representations, involutive quantales have
emerged as the basic setting. We shall introduce the notion of a
quantale and discuss in detail various subcategories of involutive
quantales. In particular we shall study those quantales that arise in
defining a notion of spectrum of a non-commutative C*-algebra. These
quantales are called Gelfand quantales. We shall also study two classes
of quantales, called von Neumann quantales and Hilbert quantales, that
arise in the quantization of the calculus of relations. We shall
define a weak spectrum of a von Neumann algebra and show that it is
always a von Neumann quantale. Finally, we shall explore the importance
of Hilbert quantales in defining the concept of point of a quantale.
From: "Huaxing Xia"
Date: Sun, 26 Nov 1995 12:57:03 -0500
Dear Colleagues:
The following are the detailed abstracts of the
two morning talks of Dynamical Systems Day 3:
THE THIRD DAY OF DYNAMICAL SYSTEMS SEMINAR
(Friday, December 8, 1995 at York University)
Resonant Hopf Bifurcation
in a Delay Differential Equation
by
Sue Ann Campbell, University of Waterloo
10:10-11:00, Room 300, Administrative Studies Bldg.
We analyse a second order differential equation describing
a damped harmonic oscillator with feedback depending on both
the state and the derivative of the state at some time in the
past. The characteristic equation for the linear stability of
the equilibrium is completely solved, and the stability region
is illustrated in a parameter space consisting of the time delay
and the strengths of the two feedback loops. Points of double
Hopf bifurcation are shown to exist throughout parameter space,
and to be resonant when the damping in the system is zero. The
1:2 resonant case is analysed using the normal form developed
by LeBlanc and Langford.
THE THIRD DAY OF DYNAMICAL SYSTEMS SEMINAR
(Friday, December 8, 1995 at York University)
A Dynamical Systems Approach to the $3x+1$ Problem
by
Marc Chamberland, McMaster University
11:10-12:00, Room 300, Administrative Studies Bldg.
The $3x+1$ Problem is a long-standing conjecture in number theory.
Let $T(x)$ be a map $T: \Bbb Z^+ \to \Bbb Z^+$ ($\Bbb Z^+$ is the
set of positive integers) defined as
$$
T(x) =\cases x/2, \; &\text{if $ x$ is even}\\
(3x+1)/2,\; &\text{if $ x$ is odd.}\endcases
$$
The conjecture is that for any $k \in \Bbb Z^+,$ there exists an
$ n \in \Bbb Z^+$ such that $T^n (k) = 1$ (that is,$ n$ iterates
of the map $T$ on the value $k$ give the value $1.$) Many papers
have been been written on this problem from many different approaches.
In this talk, we give a quick survey of existing work, and introduce
a dynamical systems approach to the problem. This is done by imbedding
this problem on the integers to a problem on the real line, and then
using the blossoming field of one-dimensional (discrete) dynamical
systems. This will involve notions of periodic orbits, stability theory,
Schwarzian derivative, and chaos. The talk is aimed at a general audience.
From: Man Wah Wong
Subject: Analysis Seminar
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Date: Mon, 27 Nov 95 22:02:31 EST
Cc: bartel@polaris.phys.yorku.ca, marko@theory2.phys.yorku.ca,
doug@unicaat.yorku.ca, fpu@mathstat.yorku.ca, scull@yorku.ca,
fs300121@sol.yorku.ca
Dear Colleagues:
Professor Sid Scull will give the second of his series of talks entitled
"Group Representations and Wavelets" at 4:00 p.m. on Friday, December 1, 1995
in N638 Ross Building. He has already covered the basic theory and examples
of locally compact groups and their regular representations in the first
lecture and promised to talk about the Heisenberg group and the affine group
which permeate much of the theory of wavelets in the literature in the second
lecture.
Sid has given me a set of notes of the first lecture and the forthcoming
second lecture. With his permission, I have made a few copies and shall be
happy to give you one if you are interested.
Sincerely,
M. W. Wong
From: "Primrose Miranda"
Date: Tue, 28 Nov 1995 09:35:56 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Ph.D. Dissertation Colloquium
Ph.D. Dissertation Colloquium
GEORGE DELISTATHIS
will speak on
A REGULAR SPACE WITH A COUNTABLE NETWORK AND DIFFERENT DIMENSIONS-
COMPACT SPACES WITH FEW REGULAR OPEN BAIRE SUBSETS
on
DECEMBER 7, 1995, 12:00 P.M. IN 105 ADMIN. STUDIES
ABSTRACT
In the first chapter, we construct a cosmic space, i.e. a regular space with
a countable network, that has different dimensions using
the continuum hypothesis (CH). This gives a consistent negative answer to
a question of A.V. Arhangel'skii.
In the second chapter, we show that every compact space X can be embedded
as a retract of a compact space Y so that every regular
open Baire subset of Y is clopen. Furthermore, if X is a continuum,
$Y$ is a continuum as well and Y has only two regular open Baire subsets.
This extends a result of V.V. Fedorcuk.
In both cases, we provide connections to the already existing literature on
these subjects.
PH.D. STUDENTS ARE EXPECTED TO ATTEND THE COLLOQUIUM
From: "Steve Watson"
Date: Fri, 24 Nov 1995 17:31:19 -0500
To: council@mathstat.yorku.ca
Subject: next meeting pure math curr comm
I have recently sent two memos to council@mathstat.yorku.ca
from the pure math curriculum committee.
All of the recommendations should be prefaced by the word: "Motion".
These memos should also say:
"These motions were approved by the pure math curriculum committee. If
no objections are heard before December 8, then these motions will be
deemed passed by the department".
Since we were able to deal with only a part of the agenda, there will
be another
Meeting of the Pure Math Curriculum Committee
Friday, December 8, 1995 in N627 Ross.
Remaining agenda items include:
1. honours versus ordinary stream, pure math versus applied math for
linear algebra and multivariable calculus.
2. new curricular submissions (enlarging notion of curriculum, 8 credit
courses)
3. conflict between calendar and minicalendar for 1590.
4. what are the possibilities for bringing pure math requirements more closely
into alignment with other streams ?
To: council@mathstat.yorku.ca
Subject: Restructuring Committee
Date: Mon, 4 Dec 1995 11:26:36 -0500
I propose that the Restructuring Committee hold its first meeting on Friday at
9:30, since there are no classes on that day until 11:30. Would those people
who volunteered to participate let me know if that time is OK? Needless to
say, all others are welcome to attend.
Other than finding a chair, the main item on the agenda will be to put items on
the agenda (no commentary from the logicians, please). This may involve a
free-ranging discussion.
George O'Brien, Chair
From: Man Wah Wong
Date: Tue, 5 Dec 95 22:52:41 EST
Subject: Analysis Seminar
Dear Colleagues:
Professor Sid Scull will give the third, also the last, of his series of talks
entitled "Group Representations and Wavelets" in N638 Ross Building at 4:00
p.m. on Friday, December 8, 1995. He will talk about, among other things,
the multiresolution analysis (MRA) and its application to the construction
of orthonormal wavelet bases.
Sincerely,
M. W. Wong
From: "Buks Van Rensburg"
Date: Tue, 12 Dec 1995 17:30:43 -0500
To: council@mathstat.yorku.ca
Subject: APM Curriculum meeting
There will a meeting of the Applied Mathematics Curriculum
Committee on December 19, 1995 (Teusday) at 10-00am in
Room 258, Petrie Science Building. On the agenda will be
the following.
1. The Physics proposal for Math3271, Math3272 and Math2270.
2. Crosslisting of Math3260 and Math3110 with Atkinson.
3. Other business
From: "Peter Peskun"
Date: Wed, 13 Dec 1995 15:05:19 -0500
To: stats.section@mathstat.yorku.ca
Subject: Meeting of Statistics Section
There will be a meeting of the Statistics Section on Friday, Dec.15 ,
9:30-11:00 a. m. in N627R to begin discussions concerning the following
items:
1. a 3-credit 2000-level course in probability and a little statistics
for Computer Science;
2. a 3-credit introductory statistics course for Admin Studies and
Atkinson Admin Studies that would cover much more than
half of Moore and McCabe;
3. a practicum as the third requirement for the Statistics graduate
comprehensive examinations.
Peter Peskun
Date: Thu, 14 Dec 95 01:50:55 -0500
From: progers@EDU.YorkU.CA (Pat Rogers)
Organization: Faculty of Education, York U
Subject: The Future of Math & Stats at York-an invitation
To: faculty@mathstat.yorku.ca, Camille.Cooper@mathstat.yorku.ca,
sfusco@mathstat.yorku.ca, Stefan.Mykytiuk@mathstat.yorku.ca,
horizons@mathstat.yorku.ca, anna@mathstat.yorku.ca
The Mathematics and Statistics Restructuring Committee
invites you to a retreat to discuss:
THE FUTURE OF MATHEMATICS AND STATISTICS AT YORK
on Thursday, January 4
9:30am to 4:OO pm
(location on campus to be announced)
PLEASE RSVP TO ANNA CAVALIERE BY MONDAY, DEC 18 AT THE LATEST
(Note: We need firm numbers for catering and room choice as soon as possible)
---------------------------------------------------------------
THE CONTEXT
* Our courses are being "watched" by knife-bearing administrators who propose
cuts without any regard to the academic integrity or viability of our
programme.
* In less than 2 years we will be asked to undertake another undergraduate
programme review in which our remaining programme will be subjected to intense
scrutiny and quite possibly censure if we are not very careful in our forward
planning.
* Some of our members seem to adopt a "gate-keeper" role as though many of our
majors are going to be graduate students and many of the latter are going to
be professors. Since we cannot take either of these for granted in the
current climate of economic misery, public scrutiny and calls for more
accountability, we can no longer pride ourselves, if we ever did, on our
ability to weed out students and teach only those we wish to teach. If we
continue on this path we'll end up, if we're lucky, a service department. Is
this what we want?
* We have some excellent students, and an increased flexibility as we change
from 1/2 courses and full courses to a credit system with possibilities for
core lectures with distinct "add-ons" for different groups of students.
* Several studies now being undertaken at York by ISR and also by our own
Horizons teams will shed light on "what our students want" and the likely
effect of higher fees on their demands.
---------------------------------------------------------------
THE OPPORTUNITY
A retreat is a chance to reflect, to talk at length about these and other
problems we face as a community of scholars who care about the future of our
discipline and believe that we are the ones best suited to service other
deparment's needs. In a retreat all ideas are welcome and explored because
they may lead to new and exciting ways to do what we do best and to replace
what has not been working.
---------------------------------------------------------------
THE AGENDA
9:30 am
Coffee and muffins
9:45 - 10:30 am REFLECTION ON THE CONTEXT FOR CHANGE
Reflection on our current programme, identification of what works and where we
need to rethink.
- who are our students, what programmes do they take, how well are we serving
their needs as well as our own?
- what activities do we want to engage in?
- what interactions should we pursue with other departments, how and for what
purpose? (Science, Atkinson, Glendon, other?)
- recruitment, retention (an even greater problem?), where are the problem
areas, what are the problems, how do we respond to them?
We are preparing a 'data sheet' (enrolments by program and year, number of
degrees awarded etc.) - and will try to provide any information people request
IN ADVANCE.
10:30am - 12:00 noon CRAZY IDEA SESSION
Bring those crazy ideas that you believe in, nothing will be rejected, the
best ideas are often the craziest. We need ideas for alternative ways to offer
courses and innovative ways to reduce our course offering so that cuts can be
made in rational ways leaving behind a viable and attractive programme that
offers students some flexibility and a good mathematics learning environment.
12:00 noon - 1:30 LUNCH
A light lunch will be catered, providing an opportunity to talk more
informally, and afterwards to visit your office, read your mail and catch up
on e-mail if you wish.
1:30pm - 3:00 pm DEVELOPING IDEAS FOR RESTRUCTURING
Small groups will work on specific topics that arise in the morning
discussions, compare the crazy ideas with our current context, what problems
might they solve, what solutions might we devise?
3:00pm WHERE DO WE GO FROM HERE?
Small groups report, followed by a discussion of the ideas which hold out most
promise.
---------------------------------------------------------------
FOLLOW UP
Departments are required to submit tentative restructuring plans to the
Dean by mid-February. The final session of the retreat will set the
agenda for the Restructuring Committee which will develop a preliminary
report for discussion by the Department in late January. This will then
inform the Department's tentative restructuring plan. A full report
with proposals for discussion and possible adoption by Department
Council will be prepared by the end of May. We should then be in a
good position to develop concrete proposals for passage through the
various levels of curriculum committees and for initial implementation
in the 1997-98 academic year.
Pat Rogers
Chair, Restructuring Committee
From: Man Wah Wong
To: faculty@mathstat.yorku.ca, grad@mathstat.yorku.ca
Date: Tue, 2 Jan 96 22:21:29 EST
Mailer: Elm [revision: 66.25]
Subject: Colloquium
Professor John C. Stillwell
Department of Mathematics
Monash University, Australia
will speak on
WHAT IS CALCULUS?
Place: N203 Ross Building
Day and Date: Thursday, January 11, 1996
Time: 4:00 p.m.
ABSTRACT
In recent years there has been much soul-searching over the teaching of
calculus, but its mathematical content has gone virtually unchallenged.
Yet, in fact, it is hard to define calculus, or to decide where the
subject begins or what it should be based on. (Halmos once said: "There is
no subject as calculus")
This talk considers four possible bases for calculus: infinite series, set
theory, geometry, topology, explores their differing merits (e.g., how
much insight do they give into limits, continuity, the real numbers and
pathological functions) and attempts to draw some conclusions.
Refreshments will be served in N620 Ross Building at 3:30 p.m.
From: "Primrose Miranda"
Date: Wed, 3 Jan 1996 11:57:07 -0500
MATTHEW ELMSLIE
will speak on
RAMSEY NUMBERS
Wednesday, January 10, 1996
2:30 p.m. in N638 Ross
ABSTRACT
A brief description is given of elementary Ramsey theory, followed by a
survey of the known Ramsey numbers. The proofs of the values of the
Ramsey numbers R(1,y), R(2,y) and R(3,3) are obtained independently of
any elaborate approach, while those of R(3,4), R(3,5), and R(4,4)
require a method for constructing graphs with regular colourings.
R(3,3,3) is solved by its own unique method.
The proof for R(3,6) is given in full while the proofs for R(3,7),
R(3,8) and R(3,9), which all share some of the ideas from the proof of
R(3,6), are outlined, due to their length and reliance on
computer-generated results.
SURVEY PAPER REQUIREMENT FOR MASTER OF ARTS DEGREE
MATHEMATICS STUDENTS ARE EXPECTED TO ATTEND THE PRESENTATION
From: "Israel Kleiner"
Date: Fri, 5 Jan 1996 10:39:39 +0000
Subject: Seminar
SEMINAR IN HISTORY & PHILOSOPHY OF MATHEMATICS AND MATH EDUCATION
Professor John Stillwell
Department of Mathematics, Monash university
Melbourne, Australia
will give a talk on
FROM PYTHAGOREAN TRIPLES TO EULERIAN QUADRUPLES
Date: Friday, January 19, 1996
Time: 2:45-3:45 p.m. PLEASE NOTE TIME CHANGE
Place: N.638 Ross Bldg.
ABSTRACT
Euclid found the general integer solution of x^2+y^2=z^2 and Euler found the
general rational solution of x^3+y^3+z^3=w^3. The story of these two
equations has many interesting episodes, involving Diophantus, Viete, Fermat,
Hardy, and Ramanujan.
To: stats.section@mathstat.yorku.ca
Subject: Meeting of Statistics Section
There will be a meeting of the Statistics Section on Wednesday, Jan.10,
12:30-1:30 p.m. in N627R to discuss the following two items:
1. Advice to the Hiring Committee-- What are our priorities in the
selection of an appropriate candidate?
2. A practicum as the third requirement for the Statistics graduate
comprehensive examinations.
Peter
From: Man Wah Wong
Date: Fri, 5 Jan 96 17:11:16 EST
Subject: Analysis Seminar: Wavelets
Several participants in the Analysis Seminar in the Fall of 1995-96 suggested
that a study group in wavelet theory and its applications be formed. The plan
is to begin with an in-depth study of wavelets systematically from "scratch"
and culminate hopefully in the end with some interesting projects to work
on. Thus, a series of preparatory lectures interlaced with specialized
talks on wavelets given by local and visiting speakers will be the main
features of the Analysis Seminar in the Winter of 1995-96.
The first problem is to determine where the "scratch" is. Given the mix of
backgrounds of the participants from mathematics, computer science, and
earth and space science, etc., it is by no means easy to gauge the
preparatory lectures to please everybody, and find a suitable base for the
preparatory lectures. Consultation with colleagues and my personal
predilection indicate that the book "Ingrid Daubechies, Ten Lectures on
Wavelets, SIAM, 1992" should be used and a nodding acquaintance with the
theory of Fourier series and transforms can be assumed. Familiarity with
the Lebesgue integral is an asset and will be assumed. Non-mathematicians
or mathematicians who dislike the theory of Lebesgue may replace all Lebesgue
integrals and arguments in the lectures by the Riemann analogues without
losing anything except beauty. Only Chapter 2 (The Continuous Wavelet
Transform) and, hopefully, Chapter 3 (Discrete Wavelet Transforms: Frames)
will be studied. These two chapters are based on the two papers published
by Daubechies in 1988 and 1990 in the IEEE Transactions on Information Theory,
and the paper published by Daubechies and Paul in 1989 in Inverse Problems.
In view of the role of the continuous wavelet transform in my research work
on pseudo-differential operators, I shall be pleased to give lectures on
most, if not all, topics in Chapter 2. It is hoped that the preparatory
lectures will provide the background for the specialized talks by local
and outside speakers.
The suggestion is that we should meet weekly in N638 Ross Building at 4:00
p.m. on Fridays for one hour at least and two hours at most. The first
meeting will be on Friday, January, 12, 1996. I shall speak on sampling
theorems and signal analysis in the beginning of Chapter 2 of the book by
Daubechies.
Participants are advised to read Chapter 1 (The What, Why and How of
Wavelets) of the book by Daubechies in order to have an overview of
the subject on wavelets before the first meeting.
M. W. Wong
From: "Primrose Miranda"
Date: Mon, 8 Jan 1996 13:16:27 -0500
CHRISTOPHER BENSON
will give a talk entitled
A PROOF OF BROWN'S ALGORITHM FOR SOLVING A TWO-PERSON GAME
on
Friday, January 12, 2:00 p.m. in N638 Ross
ABSTRACT
Descriptions of a two-person game and of Brown's algorithm will be given. A
brief talk about the author of the proof, Julia Robinson, will also be given.
We will then state the theorem which is to be proved in a formalized notation,
and then give the fundamental points and lemmas of the proof.
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
STATISTICS MASTERS STUDENTS ARE EXPECTED TO ATTEND THE TALK
STATISTICS SEMINAR
Professor Eli Posner
Department of Statistics
University of Toronto
will speak on
Nonparametric Regression for Arbitrary Random Processes}
with Applications to Nonlinear System Output Prediction}
Date: Friday, January 19, 1996
Time: 10:30 a.m.
Place: N638 Ross
ABSTRACT
Nonparametric regression is a widely studied technique for regression
curve estimation that uses training data pairs $\{(X_i,Y_i)\}$ and only
makes mild assumptions on the underlying distribution. To ensure
consistency of the estimate, most traditional work assumes that the
training data pairs are drawn independently and identically distributed
as the nominal pair. In this talk, we explore nonparametric regression
when we allow $\{X_i\}$ to be an arbitrary random process. This
includes non-stationary, non-ergodic, or deterministic processes. We
obtain results that trade off between the regularity on $\{X_i\}$ and
the regularity on the regression function. For example, if the
regression function is continuous, we show that the time average of the
estimation errors converges to zero for every random process
$\{X_i\}$. Many traditional results, and some new extensions, arise as
corollaries from our work.
Using these results, we construct a class of elementary nonparametric
output predictors of an unknown nonlinear system. The predictor uses
only previous input and noisy output data from the system without any
knowledge of the structure of the nonlinear system, and predicts
asymptotically well for every bounded input sequence and every noise
sequence in certain classes.
From: Elliott Pearl
Subject: topology seminar
To: topology@mathstat.yorku.ca, faculty@mathstat.yorku.ca,
grads@mathstat.yorku.ca
Date: Fri, 12 Jan 96 12:04:08 EST
This semester, the ever wandering topology seminar will usually occur at
12:30 p.m. on Fridays in the departmental seminar room N638 Ross.
Next Seminars:
On January 19 or January 26, George Delistathis may defend his thesis.
If this oral does not occur then the talks below will be given.
Someone else will be announcing George's oral.
On January 19, Xiao-Qiang Zhao (Institute of Applied Mathematics,
Academia Sinica, Beijing) will begin a series of talks on "The Theory
of Monotone Dynamical Systems". Abstract attached. On January 26
Jianping Zhu will speak.
Please check the seminar's home page
http://www.math.yorku.ca/Seminars/Topology/menu.html
for current and accurate information.
Xiao-Qiang Zhao
Institute of Applied Mathematics, Academia Sinica, Beijing, China
The Theory of Monotone Dynamical Systems
Given a space of ``states'', a dynamical system on this space is
described by a semiflow, that is by a mapping taking an initial state
at time zero to the state of the system at a subsequent time. A
monotone dynamical system is one on an ordered metric space which has
the property that ordered initial states lead to ordered subsequent
states. The theory of monotone dynamical systems has found many
effective applications in the study of population biology, chemical
reactions, epidemic dynamics and neural network models of various
differential equations.
This series of talks will give a detailed introduction to the main
theory of monotone dynamical systems. By introducing the basic
definitions and developing some tools, we will arrive at the main
result, for the strongly order-preserving dynamical systems, of the
generic quasiconvergence (i.e., the typical orbit converges to the set
of all equilibrium points) and generic convergence (i.e., the typical
orbit converges to an equilibrium point). Some other important results
of their own interests such as the convergence criterion, the limit set
dichotomy, the sequential limit trichotomy, the order interval
trichotomy, the global asymptotic stability and connecting orbit
theorems will also be proved.
This series of talks is accessible for general audience including
graduate students. Background in differential equations or dynamical
systems will be introduced. Knowledge in general topology is the only
necessity of the audience.
From: Man Wah Wong
Subject: Analysis Seminar
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca, doug@core.yorku.ca,
fs300121@sol.yorku.ca, guo@otter.cs.yorku.ca,
marshall.walker@mathstat.yorku.ca, scull@yorku.ca
Date: Mon, 15 Jan 96 11:47:35 EST
I'll give one more talk in the Analysis Seminar on Friday, January 19, 1996
at 4:00 p.m. in N638 Ross Building. I'll describe some joint work (with
Zhiping He) in progress. The title and abstract are as follows:
Signals, Wavelets and Localization Operators
ABSTRACT
We give some precise information on the spectrum, in fact, eigenvalues, of
a localization operator associated to an admissible wavelet of a unitary
representation of a locally compact and Hausdorff group endowed with a
left Haar measure. We show how the localization operator associated to a
very special group representation captures all the salient features of the
mathematical model used by H. Pollack, H. Landau and D. Slepian to transmit
time-limited signals over a band-limiting channel. If time permits, we
shall show that a localization operator associated to the Schrodinger
representation of the Heisenberg group is in fact a pseudo-differential
operator of the Weyl type in the theory of quantization first envisaged by
Hermann Weyl.
From: Augustine Wong
Date: Sun, 21 Jan 96 14:46:11 EST
Subject: Stats seminar Jan 26
Hi,
Enclosed is the abstract of the statistics seminar
by Prof. S. Chamberlin scheduled on Jan 26, 1996.
See you there.
Augustine
********************************************
York University
Department of Mathematics and Statistics
STATISTICS SEMINAR
Professor S.R. Chamberlin
Department of Mathematics and Statistics
York University
will speak on
The Third Property of Mathematical Likelihood
Date: Friday, January 26, 1996.
Time: 10:30 a.m.
Place: N638 Ross
ABSTRACT
Fisher (1934) gave two properties of mathematical likelihood. These
define the two orthogonal aspects of parametric inference, namely,
transformation models and exponential families. We give the third
aspect thus completing the triumvirate. That is, these three aspects
constitute an isomorphism of the fundamental equation of the universe
whose solution is this third property. This property is a
self-consistency property of likelihood under iterative information
recovery using its location and shape statistics and consists of a
sequence of sets of algebraic identities for each parametric model.
The first identity was stated but not proved in Fisher (1922). We
prove these identities in the discrete case for an arbitrary regular
parametric model function. These algebraic identities lead to a
remarkably general and elegant derivation of Barndorff-Nielsen's
formula for ancillary shape statistics where ancillary here is used in
the sense of Fisher (1925). More importantly, they are the
mathematical key which proves the existence of nth order regional
conditional pivotal sufficiency conjectured in the unpublished work by
Chamberlin (1987, 1989). They imply that to third order one can
evidently construct an approximate conditional linear pivotal model
even in the multiparameter case for virtually all regular parametric
models except certain exponential families such as (d,d) exponential
families without regard to parametrization. Arbitrary subsets of
parameters can therefore, in principle, be estimated. By implication,
third order $O(\hat{j}^{-3/2})$ approximate fiducial inference in the
sense of Barnard (1995) and structural inference in the sense of Fraser
(1978) is imminently possible, leading to estimation statements of the
Gauss (1807) form. The interpretation of maximum likelihood given by
Sprott (1984) is made precise and verified and this body of work solves
the practical problem in the one-dimensional case. Finally, the
mathematical development of mixed log model derivatives as given in
Barndorff-Nielsen (1989) was fundamental in achieving the
distributional proofs.
Subject: Dynamical Systems Day Four
Dear Colleagues:
On Tuesday, January 30, 1996, we will have our
Fourth Dynamical Systems Day at York. There will
be two talks in the morning followed by a non-host
lunch and informal discussions in the afternoon. The
talks will be given by Professor Raymond Kapral of
University of Toronto (10:10am-11:00am) and
Mr. Kaijun Zhan of University of Guelph (11:10am-12:00).
The seminar will take place in Room N638, Ross Bldg.
The titles and abstracts of the talks will be soon
sent to you.
H. Xia and J. Wu
From: "Steve Watson"
Date: Sun, 21 Jan 1996 15:56:30 -0500
To: council@mathstat.yorku.ca
Subject: meeting of the pure math curriculum meeting
There will be a meeting of the pure mathematics curriculum committee on
Friday, February 2, 1996 at 2:30 PM. in N627 Ross. The complete agenda
of this meeting will be announced in a few days.
From: Elliott Pearl
Date: Sun, 21 Jan 96 18:13:24 EST
Subject: topology seminar
At 12:30 pm, on Friday, January 26, in N638R
Alexander V. Arhangelskii (Ohio University, Athens OH) will speak on
"Some generalizations of a theorem of Grothendieck".
Prof. Arhangelskii is also Chair of General Topology and Geometry,
Mathematics and Mechanics Faculty, Moscow State University.
He is visiting York as the external examiner for the PhD defense of
George Delistathis.
From: "Huaxing Xia"
Date: Sun, 21 Jan 1996 22:47:48 -0500
Subject: Abstracts of Talks
Dear Colleagues:
The following are the titles and abstracts of the
two morning talks of Dynamical Systems Day 4:
THE FOURTH DAY OF DYNAMICAL SYSTEMS SEMINAR
(Tuesday, January 30, 1996 at York University)
Chaotic Chemical Fronts
by
Raymond Kapral, Chemical Physics Theory Group
Department of Chemistry, University of Toronto
10:10-11:00, Room N638, Ross Bldg.
The propagating fronts observed in cubic autocatalysis,
A+2B -> 3B, will be described. If species A and B are
initially separated, a propagating front will be established
as B consumes the fuel A. Depending on the diffusion coefficents
of A and B, the front may be either planar or develop transverse
spatial and temporal structure. The nature of this transverse
front dynamnics will be described. Close to the onset of the
front instability the chaotic front dynamics can be described
in terms of the Kuramoto-Sivashinsky equation and the reduction
of the reaction-diffusion equations for cubic autocatalysis to
this form will be carried out. Far from the instability a new
type of spatiotemporal front dynamics is observed and its properites
and analysis will be described. The effects of fluctuations on the
front instabilities will also be considered.
A. Malevanets, A. Careta and R. Kapral, Phys. Rev. E 52, 4724 (1995).
Generalized Hopf Bifurcations and
Vortex-induced Vibration Problems
by
Kaijun Zhan, University of Guelph
11:10-12:00, Room N638, Ross Bldg.
We clarify the characterization of nonsemisimple 1:1
Hopf bifurcation arising from a class of general coupled
oscillators with two-degree of freedom. This characterization
is applied to the vortex-induced vibration problems and it
is found that a nonsemisimple 1:1 Hopf bifurcation is a basis
for the study of the problem. The degeneracy of previously
constructed models for vortex-induced vibration is pointed out.
Our analysis supports the experimental observations such as
double amplitudes, phase locking region and fundamental
topological structure of response curves. The topologically
different bifurcation diagrams are classified. A generic
model describing the vortex-induced vibrations is constructed.
From: "Primrose Miranda"
Date: Mon, 22 Jan 1996 10:38:18 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Ph.D. Oral
GEORGE DELISTATHIS
will defend his Ph.D. dissertation entitled
A REGULAR SPACE WITH A COUNTABLE NETWORK AND DIFFERENT DIMENSIONS -
COMPACT SPACES WITH FEW REGULAR OPEN BAIRE SUBSETS
on
Friday, January 26, 1996 at 2:15 p.m. in S130 Ross
From: "Israel Kleiner"
Date: Mon, 22 Jan 1996 11:20:58 +0000
Subject: Seminar talk
SEMINAR IN HISTORY & PHILOSOPHY OF MATHEMATICS & MATH EDUC
Professor P Rajagopal
Department of Mathematics & Computer Science
Atkinson College, York University
will give a talk on
INDIAN MATHEMATICS IN THE 1850S
(Why an attempt to graft Western scientific learning to a Sanskrit
base did not work in the India of the 1850s)
Date:Friday, February 2, 1996
Time:2:45-3:45 (PLEASE NOTE NEW
Place:N.638 Ross Bldg.
ABSTRACT
In 1850 Yesudas Ramchandra published a work entitled _A Treatise on the
Problem of Maxima and Minima_. The inspiration behind the work lay in the
nineteenth century understanding that the Indian tradition of mathematics was
essentially algebraic. Ramchandra sought to introduce Indian people to the
latest developmentas in calculus, in their "native" idiom.(He was also a
prolific translator of Western scientific books into Urdu.)
The conditions under which the work emerged, as well as the cultural
grounding of the mathematical pedagogy will be discussed. In the post-1857
period the theories of knowledge that held that it was possible to graft
modern scientific learning on to a Sanskritic base could not overcome the
Macaulayan education programme. A brief look at how Japan adopted Western
mathematics in the same period points to some instructive diferences between
the conditions of the two countries.
Subject: Algebra and Topology seminar
From: "Yuri Medvedev"
Date: Mon, 22 Jan 1996 15:12:57 -0500
To: faculty@mathstat.yorku.ca
Everyone is invited to our new Algebra and Topology seminar. It will be
every Wednsday at 2:30 pm in the seminar room N638. The first seminar
will be on January, 24. This time we start to study compact groups,
namely pro-finite groups. We are going to use the book of J. Dixon and
Co on "Analitic pro-p Groups". Graduate students are welcome. We do
not assume of a deep knowledge of algebra and topology. Everything we
start from the beginning.
If you have questions you can ask R.Burns, T.Machenry, A.Pietrowski,
D.Promislow, S.Watson, or
Yu.Medvedev
TO MEMBERS OF THE GRADUATE FACULTY
David Brillinger from Berkeley will be visiting the department on
Monday Feb19, and Tues. Feb20. as one of the OCGS appointed appraisers
for the graduate programme. He will want to meet with several of the
graduate faculty. I will try to arrange some group meetings, perhaps
by field. Many of you however might want to schedule individual
meetings for half an hour or an hour. Please inform me as soon as
possible, together with suitable times.
Please also let me know if you wish to go out for lunch and/or dinner
on Monday. ( Tuesday lunch is taken care of by the faculty).
The lunch and dinner decisions can wait for a while,but we hope to
plan the meeting schedule soon, as it all has to be coordinated with
meetings with various other university officials.
Subject: SOCIAL
From: Camille Cooper
To: grads@clid.math.yorku.ca
Cc: faculty@clid.math.yorku.ca
We're back.....
Ladies and Jellyspoons,
I come before you to stand behind you,
to tell you something I know nothing about...
On this Friday, which is set in the afternoon (say around one),
there will be a graduate social,
at our university only (in the 6th floor lounge),
Admission is free, pay your respects at the door,
take a seat (or sit on the floor).
And stick around for my next fable,
entitled "Four corners on a round table"
{the above poem is a loose adaptation of a children's fable}
There will be cards, drink (and not just your regular kind)
and food to spare, so bring the kids and have some fun.
We are looking forward to seeing as many of you as possible!
We go till we drop -- so come and join in!
From: Camille Cooper
Subject: poem
To: grads@clid.math.yorku.ca
Date: Wed, 24 Jan 96 9:14:21 EST
Cc: faculty@clid.math.yorku.ca
I guess I should expand upon the reference. It was a childhood
poem which most people I grew up with knew, I gather it was not
as universal as I assumed. here it is in full:
Ladies and Jellyspoons,
I come before you to stand behind you
to tell you something I know nothing about.
On next Thursday, which is Good Friday,
there will be a Mothers meeting, for Fathers only.
Admission is free, pay at the door,
Take a seat and sit on the floor.
And stick around for my next fable,
entitled, "Four Corners on a Round Table"
The End.
I have no idea who wrote it, I have heard it
referred to as "The Nonsense Poem".
Thank you all for your concern over my well being - at least I succeeded
in getting some good PR for the social!
Camille
From: Man Wah Wong
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca, doug@core.yorku.ca,
fs300121@sol.yorku.ca, guo@mathstat.yorku.ca, joseph@mathstat.yorku.ca,
scull@yorku.ca, marshall.walker@mathstat.yorku.ca
Date: Wed, 24 Jan 96 21:55:42 EST
Subject: Colloquium
Professor Mark A. Kon
Department of Mathematics
Boston University
will speak on
Can we recover a function from the maxima of its wavelet expansion?
Place: N638 Ross Building
Day and Date: Friday, February 2, 1996
Time: 4:00 p.m.
ABSTRACT
Wavelets have been used for many applications in sciences and engineering,
often in place of the Fourier methods. Two important applications have been
in vision theory and in image compression, where Marr and Mallat have worked
on problems involving recovery of images (or more generally functions) from
just the maxima of their wavelet transforms. We shall discuss some of the
uses of wavelets in this context, what the questions and conjectures are,
and some of the answers.
Refreshments will be served in N620 Ross Building at 3:30 p.m.
Please note the change in day and the change in place of this colloquium.
From: "Primrose Miranda"
Date: Fri, 26 Jan 1996 13:02:23 -0500
Subject: Graduate Seminar
ENG ONG
will give a talk entitled
LIDSTONE'S THEOREM
on Friday, February 2, 1996 at 2:00 p.m. in S536 Ross
ABSTRACT
The major work dealing with the effect on reserves when changes are made in the
underlying assumptions of interest rate and mortality rate is the 1905 paper of
G.J. Lidstone, submitted to the Institute of Actuaries. His theorem, limited
to cases involving a monotonic critical function, is further extended by S.D.
Promislow in 1981 in a paper to the Society of Actuaries, mainly to cases
involving a nonmonotonic critical function.
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
ALL M.A. STUDENTS IN MATHEMATICS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Mon, 29 Jan 1996 09:02:59 -0500
Subject: Graduate Seminar
TINA HALLER
will give a talk entitled
CLINICAL TRIALS
on Friday, February 9, 1996 at 2:00 p.m. in S536 Ross
ABSTRACT
This presentation will give an overview of what clinical trials are and
how statistics plays an important role in them. Clinical Trials which
have a sound scientific foundation provide the only reliable basis for
evaluating the safety and efficacy of new treatments. A good clinical
trial stems from a good study design. Therefore, it is crucial for the
statistician to play a major role in the design and conduct of these trials.
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
ALL M.A. STATISTICS STUDENTS SHOULD ATTEND THIS TALK AS IT DEALS WITH REAL
APPLICATIONS OF STATISTICS IN THE WORK FORCE
Date: Tue, 30 Jan 1996 14:12:51 -0500
From: "Neal Madras"
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca
Subject: Applied Math / Probability Seminar
JOINT APPLIED MATHEMATICS - PROBABILITY SEMINAR:
Tuesday, Feb. 6:
Chris Soteros (University of Saskatchewan):
"Collapsing Lattice Animals" (see abstract below)
1:30 p.m. in N638 Ross
ABSTRACT:
Lattice animals, connected subgraphs of $Z^d$ (the d-dimensional
hypercubic lattice), can be used to model the configurations of
branched polymer molecules in dilute solution. By introducing nearest
neighbour interactions, one can then use lattice animal models to study
phase transitions in branched polymer systems. In this talk, results
about a two variable lattice animal model will be discussed. The two
variables, $\beta_1$ and $\beta_2$, are weights associated with two
types of nearest neighbour interactions (monomer-monomer and
monomer-solvent interactions). Exact enumeration results for this
model provide evidence for the existence of a curve of phase
transitions in the $\beta_1,\beta_2$-plane corresponding to the
``collapse'' of lattice animals from expanded to globular objects. It
will be proved, by making a connection with bond percolation on $Z^d$,
that a collapse transition exists at least at one point along the
predicted curve of phase transitions. In addition, recent Monte Carlo
results will be presented which provide further evidence for the
collapse transition.
Finally, in order to investigate the possibility of a collapse-collapse
phase transition (a transition from globular objects with few cycles to
globular objects with many cycles), a model of branched polymers in the
collapsed regime will be introduced. The partition function of the
model will be shown to be related to an all-terminal network
reliability polynomial.
Date: Wed, 31 Jan 1996 09:09:39 -0500
From: "Neal Madras"
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca, stats@mathstat.yorku.ca
Subject: CS seminar
The following seminar is in the Computer Science Department's Distinguished
Lecture Series:
Date: Friday, February 2, 1996
Time: 1:30 pm
Location: CCB 115
Stochastic Search and Phase Transitions:
Artificial Intelligence Meets Physics
Bart Selman
AT&T Bell Laboratories
Abstract
Significant progress has been made recently in our understanding of the
nature of computationally hard problems. In addition, new stochastic
methods have been discovered for solving such problems.
Computationally hard instances of randomly generated problems arise at a
certain critical ratio of constraints to variables. At the critical ratio,
problem distributions undergo dramatic changes. An analogous phenomenon
occurs in phase transitions studied in Physics, I'll discuss this
connection with Physics and also discuss how our experiments with
critically constrained problems have led to surprising new insights into
average-case complexity and stochastic search methods in AI
Short Biography
Bart Selman is a principal scientist in the Artificial Intelligence
Research Department at AT&T Bell laboratories. He holds a Ph.D. and M.Sc.
in Computer Science from the University of Toronto, and a M.Sc. in Physics
from Delft University of Technology. His research has covered many areas
in artificial intelligence, including tractable inference, knowledge
representation, search, planning, default reasoning, constraint
satisfaction, natural language understanding. He has received best paper
awards at both the American and Canadian national artificial intelligence
conferences, and at the International Conference on Knowledge
Representation. His current research projects are on efficient reasoning,
stochastic search methods, knowledge compilation, and software agents.
From: "Steve Watson"
Date: Thu, 1 Feb 1996 17:02:55 -0500
To: council@mathstat.yorku.ca
Subject: pure math curr comm meeting
There will be a meeting of the pure mathematics curriculum committee on
Friday, February 2, 1996 at 2:30 PM. in N627 Ross.
The agenda of this meeting includes:
1. cross-listing 2320.03 with COSC
2. cross-listing 2221.03 with AK
3. moving Math 3410.03 to winter term
4. compulsory enrollment in problem sessions
5. overlap in content between 1090.03 and 2090.03
6. pure and applied sciences minicalendar
7. faculty of arts student handbook
8. combined honours in chemistry and mathematics
9. conflict between minicalendar and calendar 1590/3280
See you there.
Steve
From: "Karen Pellegrino"
Date: Fri, 2 Feb 1996 09:02:53 -0500
To: faculty@mathstat.yorku.ca
Cc: guests@mathstat.yorku.ca, grads@mathstat.yorku.ca,
webmaster@mathstat.yorku.ca
Subject: colloquium, Feb. 8/96
Professor H. Freedman of the University of Alberta will speak on "Mathematical
Models describing interactions between Agriculture, Industry and
Environment".Place: N203R, Date: February 8, l996, Time: 4:00 pm - 5:00 pm.
ABSTRACT: Mathematical models for the dynamics of the transfer and change of
wealth when agriculture interacts with industry and the environment are
considered. A basic model is developed in the case of a constant environment.
Environmental thresholds, degradations, and recoveries are then considered. In
all cases, equilibria and their stabilities are analysed. Bifurcations and
periodic orbits are realized both analytically and numerically. In our case it
is shown that strange attractors could occur.
note: research partially supported by NSERC, grant #A4823, and Alberta
Agriculture, and Kenagra. Also note: Joint work with M. Solomonovich, P.
Apedaile and L. Belestotski, University of Alberta, and S. Schilizzi, INRA
Centre de Montpellier and University of Western Australia.
Refreshments will be served in N620 Ross at 3:30 p.m.
From: "Walter Tholen"
Date: Fri, 2 Feb 1996 14:41:40 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca, cat@mathstat.yorku.ca
Subject: Algebra/Category Seminar
Algebra/Category Seminar
Speaker: Walter Tholen
Title: "Separation versus Connectedness"
Time: Friday, February 9
Place: N 637 Ross
Abstract: The title of the talk does not refer to a never-ending Canadian
theme, but it is nevertheless ambiguous since, from an algebraic point of view,
it reads as "Torsion versus Torsionfree". The preference for its topological
counter-part reflects the fact that we shall show how some work of
Arhangels'kii and Wiegandt and of others can be put into a unifying context and
leads to new applications in both algebra and topology.
The talk is based on joint work with Maria Manuel Clementino.
From: "David Promislow"
Date: Fri, 2 Feb 1996 15:32:23 -0500
To: faculty@mathstat.yorku.ca
Subject: graduate appraiser #2
TO MEMBERS OF THE GRADUATE FACULTY
The second appraiser of our graduate programme will be Angelo
Mingarelli from Carleton, who works in differential equations. He
will be here on Wednesday, Mar. 6, and Thursday Mar 7. I have
basically the same message as I did before which I will repeat here for
your convenience
Professor Mingarelli will want to meet with several of the
graduate faculty. I will try to arrange some group meetings, but many
of you r might want to schedule individual meetings for half an hour
or an hour. Please inform me as soon as possible, together with
suitable times.
Please also let me know if you wish to go out for lunch and/or dinner
on Wednesday ( Thursday's lunch will be taken care of by the faculty).
The lunch and dinner decisions can wait for a while,but we hope to
plan the meeting schedule soon, as it all has to be coordinated with
meetings with various other university officials.
From: Man Wah Wong
Date: Sun, 4 Feb 96 13:31:44 EST
Subject: Analysis Seminar
Dear Colleagues:
Zhiping He of York University will give the first of a series of lectures
entitled "An Introduction to the Continuous Wavelet Transform" on Friday,
February 9, 1996 at 4:00 p.m. in N638 Ross Building. The lectures will be
based on Chapter 2 of the book "Ten Lectures on Wavelets, SIAM, 1992" by
Ingrid Daubechies and should be understandable to a fourth year undergraduate
student or a beginning graduate student with a nodding acquaintance with the
Lebesgue theory of integration.
Sincerely,
M. W. Wong
From: "George O'Brien"
Date: Mon, 5 Feb 1996 15:15:03 -0500
To: council@mathstat.yorku.ca
Subject: February meeting
The February meeting og the Department Council would normally be on 27
Feb. Unfortunately, this day is in reading week. Consequently, we
will instead meet on 20 February at 4:00 in as yet unspecified room.
One item on the agenda will be the Departmental Plan, which is due on
March 1. Feel free to suggest other items.
From: "George O'Brien"
Date: Thu, 8 Feb 1996 16:41:50 -0500
To: council@mathstat.yorku.ca
Subject: meeting postponed
Good news, at least from my viewpoint. The deadline for getting a plan
into the Dean of Arts' office has been moved back one month. Therefore
there is no immediate need to have a council meeting on February 20.
This is good because the Science Council meeting has been moved back to
that date. If issues come up that need to be dealt with before the
regular March meeting, we may have a special meeting on the first
Tuesday in March, namely 5 March. With lots of activity by the
restructurers, this is entirely possible. Members of the Department
council are always invited to submit items for consideration at
meetings.
From: "Walter Tholen"
Date: Fri, 9 Feb 1996 17:32:32 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Algebra/Category Seminar
Algebra/Category Seminar
Speaker: Walter Tholen
Title: "Separation versus Connectedness", part II
Time: Friday, February 16, 2:30pm
Place: N 638 Ross
Abstract: In this second talk ( of a two-lecture series) we shall show
how some generalized concepts of connectedness as developed in the
seventies by Arhangels'kii and Wiegandt and by others, can be put into
a unifying context and actually leads to a theory very closely related
to the original topological concepts, with great potential for
applications.
The talk is based on joint work with Maria Manuel Clementino.
From: "Israel Kleiner"
To: admin@mathstat.yorku.ca, teachers@mathstat.yorku.ca
Date: Sat, 10 Feb 1996 17:45:48 +0000
Subject: Birthday Celebration
Abe Shenitzer will be seventy five this year, and we are
planning to celebrate the occasion with a conference on
MATHEMATICS AND ITS HISTORY,on Saturday,October 5, 1996.We
have five excellent speakers: Ed Barbeau, Harold Edwards,
Peter Hilton, Walter Littman, and Helena Pycior(5/2 are
mathematicians, the rest historians of mathematics).So please
circle October 5 on your calendar.
Israel and Martin Muldoon, coorganizers of the conference.
P.S.Further information will be put in the departmental home
page on the Web under General Information/Mathstat Conferences
at York.
From: "Walter Tholen"
Date: Wed, 21 Feb 1996 13:40:26 -0500
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Algebra Seminar
Professor Trueman Machenry will speak in the Algebra Seminar on Friday,
Feb. 23, at 2:30pm, in N638Ross. Everybody is welcome to attend.
TITLE: On a subgroup of the group of multiplicative arithmetic
functions.
ABSTRACT: Arithmetic functions are functions from the Natural numbers
to the complex numbers. They form a commutative ring with identity under
pointwise addition and Dirichlet convolution. The multiplicative functions
form a subgroup of the group of units of this ring, and the functions which
can be written as products of completely multiplicative functions and their
inverses form a subgroup of this group. It is this latter group that I want to
discuss: I shall exhibit a motley set of its properties.
From: "Peter Peskun"
Date: Fri, 23 Feb 1996 15:03:05 -0500
To: faculty@mathstat.yorku.ca
Subject: Statistics candidates
The following four candidates for our advertised position in statistics at the
Assistant Professor level have been invited for interviews and will be visiting
our department on the days indicated:
Yodit Seifu (Monday, March 4)
Peter (Xue-Kun) Song (Wednesday, March 6)
Xiaopeng (Michael) Dong (Friday, March 8)
Joan (Xiaoquiong) Hu (Monday, March 11)
On the day of his/her visit, each candidate will give a talk (titles to be
announced) at 11:30 a.m.-12:30 p.m. in N638R. Everyone is welcome.
Peter Peskun
From: "Israel Kleiner"
Date: Sat, 24 Feb 1996 11:12:30 +0000
Subject: History ...Seminar
SEMINAR IN HISTORY & PHILOSOPHY OF MATH AND MATH EDUC.
Professor V. Tikhomirov
Moscow State University & Mathematical College of Moscow
Independent University
will give a talk on
THE HISTORY OF FUNCTIONAL ANALYSIS
Date: Friday, March 8, 1996
Time: 2:45-3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
The founders of functional analysis were John Bernoulli
and Leibniz. The brachistochrone problem was really the
first problem of infinite-dimensional analysis. Leibniz
solved it by means of the so-called "direct method", that
is by reducing this infinite-dimensional problem to a
family of finite-dimensional problems.
The elements of infinite-dimensional calculus were created
by Lagrange. Then, during a whole century, the ideas of
infinite-dimensional analysis were not advanced.
Volterra was the first 19th-century mathematician who
declared the need to develop infinite-dimensional calculus.
Hilbert created the theory of Hilbert spaces and of symmetric
operators on such spaces.Minkowski was the founder of convex
analysis. Finally, Helly, Wiener, Hahn, Banach and others
combined all these ideas and created what we now call
functional analysis.
From: Augustine Wong
Date: Tue, 27 Feb 96 12:20:12 EST
STATISTICS SEMINAR
Dr. Xiaopeng Dong
Department of Mathematics
University of California at Davis
will speak on
Estimating Density Functions: A Constrained
Maximum Likelihood Approach}
Date: Friday, March 8, 1996.
Time: 11:30 a.m.
Place: N638 Ross
ABSTRACT
In this talk, we are proposing a new method for density estimation
by employing the optimization model to produce the optimal
density estimators. In so doing we are able to consider all the
information (other than sample data) and incorporate them into
the model.
Based on a version of law of large numbers for random lower
semicontinuous function we proved the consistency of the argmin
estimator. Furthermore, for the approximation argmin estimator a
large deviation type of result has been proved.
Different approximation schemes have been proposed for computation
of the argmin estimator both for one dimensional and two dimensional
data set. The numerical experiments demonstrate the significant
improvement when including prior information. Also they indicate
that our approach is a promising estimation procedure for small sample
data set.
From: Augustine Wong
Date: Tue, 27 Feb 96 12:18:55 EST
STATISTICS SEMINAR
Dr. Yodit Seifu
Department of Statistics
Northwestern University
will speak on
Local Lyapunov Exponents: Results and Applications
Date: Monday, March 4, 1996
Time: 11:30 a.m.
Place: N638 Ross
ABSTRACT
Chaotic systems are characterized by sensitivity to initial conditions,
and this property can be measured by global Lyapunov exponents. Global
Lyapunov exponents are a measure of the average stretching of a map.
Local Lyapunov exponents, introduced by Wolff (1992), measure the local
stretching of a map. Wolff (1992) described the behavior of local
Lyapunov exponents (LLEs) in a variety of one-dimensional models. He
also proposed two graphical procedures based on local Lyapunov
exponents (LLE) to differentiate between time series that arise as
iterates of a univariate chaotic map and stochastic time series. In
this talk we will review the basic definitions of chaotic dynamical
systems and Wolff's (1992) work on LLEs. We will consider improvements
to LLE and LLE-LLE plots based on moving average filters and discuss
the definition and use of LLEs in two-dimensional dynamical systems.
Finally, we apply the diagnostic technique of LLE-LLE plots to some
data on heart rate variability.
From: Augustine Wong
STATISTICS SEMINAR
Mr. Peter Song
Department of Statistics
University of British Columbia
will speak on
Stationary Time-Series Models With Exponential Dispersion Model Margins
Date: Wednesday, March 6, 1996.
Time: 11:30 a.m.
Place: N638 Ross
ABSTRACT
In this talk, we like to present a class of stationary infinite order
moving average processes with margins in the class of infinitely
divisible exponential dispersion models. The processes are constructed
by means of the thinning operation of Joe (1994). As a special case we
obtain a class of autoregressive moving average processes that are
different from ARMA models proposed by Joe (1994). The range of
possible marginal distributions for the new models is extensive and
includes all infinitely divisible distributions with finite moment
generating functions, hereunder many known discrete, continuous and
mixed distributions.
From: Augustine Wong
STATISTICS SEMINAR
Dr. Joan Hu
(Job candidate for our statistics position)
Environmental Health Centre, Health Canada
will speak on
Analyses of Data from Post-Market Studies
Date: Monday, March 11, 1996
Time: 11:30 a.m.
Place: N638 Ross
ABSTRACT
Post-market study has been drawing much attention recently.
Problem-report data such as warranty claim records or adverse effect
reports provide valuable information about quality of manufactured
products in actual use. We aim at developing methodology for analyzing
such data themselves and with supplementary information. This talk
presents our proposed methods and their asymptotic properties. Results
of simulations for examining behavior of the methods and checking their
robustness are also given. As an illustrative example, we analyze a
real set of car warranty data. In addition, application of the
developed methodology to other two databases from health studies is
briefly discussed.
From: FS337060@Sol.YorkU.CA
Date: Thu, 29 Feb 1996 11:27:59 -0500 (EST)
Subject: SEMINAR - VAN RENSBURG
To: faculty@MATHSTAT.YORKU.CA
YORK UNIVERSITY
DEPARTMENT OF PHYSICS AND ASTRONOMY
SEMINAR
E. J. Janse van Rensburg
Department of Mathematics and Statistics, York University
" Monte Carlo Study of the Theta Point in Collapsing Trees"
Branched polymers in solution are known to undergo a collapse
transition driven by the quality of the solvent. This transition
occurs at the Theta point, which is believed to be a second order phase
transition. The collapse of the polymer is in a characteristic length,
usually taken to be the root mean square radius of gyration, R_G, of
the polymer. In the 'good solvent' regime, one expects that R_G \sim
M^\nu, where M is the molecular mass of the polymer. $\nu$ is a
critical exponent, commonly called the {\it metric exponent} (which
describes the scaling of $R_G$ with $M$). In three dimensions, it is
believed that $\nu = 0.5$, so that the branched polymer is expanded.
On the other hand, beyond the collapse transition, it is believed that
$R_G \sim M^{1/3}$, and the polymer behaves as a solid or compact
object.
{\it Trees } in the hypercubic lattice, with a short-ranged
interaction between vertices which are nearest neighbours in the lattice,
can be taken as a model which will describe the collapse transition.
An advantage of this model is that it can be efficiently sampled by
a Metropolis Monte Carlo algorithm. In this talk I will give an
introduction to the Monte Carlo simulation of lattice trees and
review the expected thermodynamic behaviour. Numerical data obtained
by sampling trees through (1) a stochastic optimisation algorithm of
the Robbins-Monro type, and (2) umbrella sampling, will be presented.
The implications of these data for the collapse transition will be
discussed - and we will find good reason to believe that the transition
is second order with a divergent specific heat, and that the metric
collapse coincides with the thermodynamic transition.
Collaborator: N. Madras
DATE: TUESDAY, MARCH 5. 1996
TIME: 3:30 P.M.
LOCATION: ROOM 317, PETRIE BLDG.
Refreshments will be served in Petrie 315 at 3:00 p.m.
GRADUATE STUDENTS ARE ENCOURAGED TO ATTEND
From: "Primrose Miranda"
Date: Fri, 1 Mar 1996 09:41:11 -0500
Subject: Dissertation Subject Oral Exam
DISSERTATION SUBJECT ORAL
YING ZHANG
will speak on
RESONANCE PROBLEMS FOR SEMILINEAR PSEUDO-DIFFERENTIAL OPERATORS
on
Friday, March 8, 3:00 p.m. in 1154 Vari Hall
THE SYLLABUS IS AVAILABLE FOR INSPECTION IN MY OFFICE (N519)
Date: Fri, 1 Mar 1996 16:43:37 -0500
From: "Neal Madras"
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca
Subject: probability seminar, March 5
PROBABILITY SEMINAR:
Tuesday, March 5:
John Verzani (York University):
"Some Path Properties of the Planar Brownian Snake"
1:30 p.m. in N638 Ross
ABSTRACT:
The Brownian Snake offers a path-valued glimpse at the Superprocess --
a high density limit of branching particle systems. I'll discuss
questions about cone paths and the convex hull of the planar Brownian
Snake and compare them to their counterparts for planar Brownian
Motion.
ALGEBRA SEMINAR
Professor Trueman Machenry will give a second talk in the Algebra Seminar on
Friday, March 8, at *1:45 pm*, in N638Ross. Everybody is welcome to attend.
TITLE: On a subgroup of the group of multiplicative arithmetic
functions.
ABSTRACT: Arithmetic functions are functions from the Natural numbers
to the complex numbers. They form a commutative ring with identity under
pointwise addition and Dirichlet convolution. The multiplicative functions
form a subgroup of the group of units of this ring, and the functions which
can be written as products of completely multiplicative functions and their
inverses form a subgroup of this group. It is this latter group that I want to
discuss: I shall exhibit a motley set of its properties.
From: "Primrose Miranda"
Date: Fri, 8 Mar 1996 12:03:42 -0500
Subject: M.A. Seminar
CONSTANZE PUMPLUEN
will give a talk entitled
COMPLETE VALUATION RINGS AND P-ADIC NUMBERS
ABSTRACT
Complete valuation rings play a fundamental role in modern algebra and its
relations to Class Field Theory, Algebraic Geometry and Analytic Number Theory.
In this talk we present the basic notions, construct the completion of a
discrete valuation ring, and discuss examples and applications.
From: Man Wah Wong
Subject: Colloquium
Professor Rongqing Jia
Department of Mathematical Sciences
University of Alberta
will speak on
Approximation and Smoothness Properties of Wavelets
Place: N638 Ross Building
Day and Date: Friday, March 22, 1996
Time: 4:00 p.m
ABSTRACT
Wavelets are generated from refinable functions by using multiresolution
analysis. The quality of a wavelet is measured by its approximation and
smoothness properties. In this talk, we shall discuss characterizations of
approximation and smoothness properties of wavelets. Our study is based on
an investigation of the corresponding subdivision and transition operators.
Refreshments will be served in N620 Ross Building at 3:30 p.m.
Please note the change in day and the change in place of this colloquium.
Last-minute changes (if any):
If there's nothing below this line there are no new changes.
From: Augustine Wong
Subject: Econometrics seminar
> This is a reminder that there is an econometrics workshop Wednesday at
> 4:00 by Yongmiao Hong, ``A new test for volatility spillover... ''
> If anyone wishes to speak with him or go to lunch/dinner let me know.
> Hong will also be here Thursday and possibly Friday.
>
> Paul Rilstone
From: "Silviu Guiasu"
Date: Wed, 13 Mar 1996 10:48:03 -0500
Subject: Seminar Talk
Tilaye Teshager, a graduate student in our department, will give
a seminar talk in Room N638 Ross on Friday, March 15, 1996, time
11:15 a.m. - 12:15 p.m. The title of his talk is "An application
of the Principle of Maximum Entropy to the study of an M/M/1 queueing
system."
From: "Israel Kleiner"
Subject: Seminar in History....
SEMINAR IN HISTORY &PHILOSOPHY OF MATH AND MATH EDUCATION
Professor Guenther Frei
Department of Mathematics and Statistics
University of Laval
will give a talk on
EULER'S CONVENIENT NUMBERS
Date: Friday, March 22, 1996
Time: 2:45 - 3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
In connection with the problem of factoring big numbers into primes
Euler discovered (1778) numbers he called "convenient" (idonei),
because they are convenient to test whether a given number is a prime
or not. After having derived various properties of these numbers he
found a list of 65 of them. It is still an open problem whether his
list is actually complete. Gauss (1801) gave a characterization of these
numbers in terms of the class group of quadratic forms.
Date: Wed, 13 Mar 1996 15:30:21 -0500
From: "Neal Madras"
Subject: Probability seminars
Probability seminars next week:
---------------------------------------------------------------------------
Tuesday, Mar. 19: Vladimair S. Korolyuk (Institute of Mathematics,
National Academy of Science of Ukraine, Kiev):
"Ruin problems: Explicit and asymptotic approaches"
1:30 p.m. in N638 Ross Building
ABSTRACT: Ruin problems are formulated in terms of random walks on
bounded intervals of the real line with one reflecting or two
absorbing boundaries.
---------------------------------------------------------------------------
Thursday, Mar. 21: Neil O'Connell (BRIMS, Hewlett Packard Labs, Bristol, U.K.)
"Large deviations for sample paths indexed by the half
line"
11:30 a.m. in N638 Ross Building
ABSTRACT:
A classical result, due to Varadhan (1966) and Mogulskii (1976), says that
the empirical process of an i.i.d. sequence with finite MGF satisfies a
large deviation principle (LDP) in the space of continuous functions
on [0,infinity) when equipped with the topology of uniform convergence on
compact intervals. This topology is not strong enough for many
applications, particularly in queueing theory, where one encounters
mappings such as f --> sup{ f(t): t>0 }. We show that if the LDP
holds in the space of continuous functions, and if the log of the MGF
is differentiable at 0, then the LDP holds in a smaller space with a
(metric) topology that is strong enough to ensure that such mappings
are continuous.
This extends work of Dobrushin and Pechersky (1995), who introduce
a finer topology for which the restriction of the mapping to a subspace
of monotone paths is continuous, and prove the LDP with respect to this
topology for a class of Markov jump processes.
From: "George O'Brien"
Date: Thu, 14 Mar 1996 18:05:44 -0500
To: council@mathstat.yorku.ca
Subject: March meeting
I am calling a meeting of the council at the regular time of 4:00 on 26 March.
I invite suggestions for agenda items. One such item will be the continuation
of the reports of the subcommittees of the restructuring committee.
--
George L. O'Brien
Professor and Chair
Dept. of Mathematics and Statistics
York University
From: "David Promislow"
Date: Thu, 14 Mar 1996 18:42:00 -0500
To: faculty@mathstat.yorku.ca
Subject: visit of John Chadam
TO GRADUATE FACULTY
Here is a draft itinerary for John Chadam's appraisal visit.
Let me know if there is are any problems, or if you have been left out, or if
you want more time ( or less time) . We cannot go later than 3:00 on Friday as
John has to catch a plane.
THURS. MAR 21
9:00 - 9:30 D. Promislow
9:30 - 10:00 G. Obrien
10:00 - 10:30 N. Madras
10:30 - 11:00 T.Salisbury
11:00 -12:00 Dean Leighton-Brown
12:00 - 1:30 FGS lunch
2:00 - 3:00 Dean Fallis
3:00 - 3:30 Ross Rudolph
3:30 - 4:30 Brian Wilks
4:40 - 5:00 M.W. Wong
FRIDAY MAR 22
9:00 - 9:30 M. Muldoon
9:30 - 9.50 W. Tholen
10:00 - 10:20 M. Walker
10:20 - 10:40 Break
10:40 - 11;00 S. Hou
11:00 - 11:30 P. Rogers, I Kleiner, P. Rajagopal (Teacher's programme)
11:30 - 12:00 J. Wu
12:00 - 1:30 Lunch in Faculty Club - All are welcome to join.
1:45 - 2;00 P. Rogers, C. Cooper, S. Myktiuk, S. Fusco ( T.A. training)
2:00 -3:00 Group meeting with students.
Date: Fri, 15 Mar 1996 09:14:36 -0500
From: "Neal Madras"
To: stats@mathstat.yorku.ca
Subject: Seminar
This Computer Science Seminar today may be of interest to some:
**************************************
DATE: Friday, March 15, 1996
LOCATION: CCB 330
TIME: 1:30
Mining Patterns from Data: Rough Sets Approach
Prof. Wojciech Ziarko
Department of Computer Science
University of Regina,
Regina, Saskatchewan, Canada
Data mining is considered to be one of the most promising directions
spanning database and AI research. The primary objective of database
mining methodologies and systems is to help the user in discovering
potentially significant facts or data patterns which are frquently "burried"
in the masses of irrelevant information . Although statistical
methods offer some help in that respect, their applicability is limited
by often strong assumptions and general lack of techniques to analyze and
characterize the structural relationships existing in data. Consequently,
much of database mining, or knowledge discovery in databases (KDD) research
is rooted in former machine learning research which offers rule computation
algorithms which can be used to try to deal with rule discovery problem.
However, the goals of machine learning are different from database mining
and, therefore, simple adaptation of learning algorithms to deal with
database mining questions solves a small part of the whole problem. What
is needed is a comprehensive, well founded and consistent approach aimed
at dealing with a number of KDD-related problems. Typical problems are the
analysis of data dependencies, identification of fundamental factors
affecting such dependencies, discovery of predictive rules etc. It seems
that methodology of rough sets and its extensions offer such a theoretical
framework to systematically study such KDD problems and related
algorithms. The review of rough set-based approach to database mining is
the main subject of this presentation. The presentation will be
developed around an extension of the rough set model, called variable
precision rough sets model. Practical examples computed with our systems
Dataquest, Datalogic and KDD-R will be used to illustrate the talk.
From: Augustine Wong
Subject: Stats seminar -- March 20
To: stats@clid.math.yorku.ca, hiring.stats@clid.math.yorku.ca,
grads@clid.math.yorku.ca
Date: Fri, 15 Mar 96 10:49:07 EST
Hi,
The following is the latex format of the abstract of Kalyanee
for this coming Wednesday.
Best wishes.
Augustine
****************************************************
\documentstyle[11pt,fullpage]{article}
\pagestyle{empty}
\newcommand{\bskip}{\vspace{0.2in}}
\begin{document}
\centerline{\bf York University}
\centerline{\bf Department of Mathematics and Statistics}
\bskip
\centerline{\bf STATISTICS SEMINAR}
\bskip
\centerline{\bf Dr. Kalyanee Viraswami}
\centerline{Department of Statistics}
\centerline{Oxford University}
\bskip
\centerline{will speak on}
\bskip
\centerline{\bf Higher order results on some robust test statistics under model
misspecification}
\begin{center}
\begin{tabular}{ll}
{\bf Date: } & Wednesday, March 20, 1996. \\
{\bf Time: } & 11:30 a.m. \\
{\bf Place: } & N638 Ross
\end{tabular}
\end{center}
\bskip
\centerline{ABSTRACT}
\vspace{0.15in}
\noindent
Most of the higher order asymptotic results in statistical
inference available in the literature, have been under
the assumption of model correctness. In this talk, some higher order
results under model misspecification will be presented.
\vspace{0.10in}
\noindent
Kent(1982) showed that the likelihood ratio statistic, the
score statistic and the Wald statistic do not have an
asymptotic chi-square distribution with p degrees of
freedom under model misspecification, and he introduced
robust versions of the score statistic and Wald statistic.
We introduce a robust version of the likelihood ratio statistic,
and present higher order results on these three robust statistics.
These results will be illustrated in a number of examples.
\end{document}
From: "Janice Grant"
Date: Fri, 15 Mar 1996 10:46:03 -0500
To: Teachers@mathstat.yorku.ca
Subject: final grades
Here is the information you need to know about grades. Please remember, I also
have deadlines which must be met which are set by the registrar's office.
The bottom line of this process is that grades are due on MY DESK, NOT LATER
THAN 3:00 P.M. ON MAY 2, 1996. The rule of thumb is that you have five working
days after your exam to get them in to me. (This is from the Registrar's
Office, not me).
Here is the memo (with a couple of revisions which I sent last term. If you
have problems/concerns, please address them to me or to Mort Abramson and we
will attempt to address them.
COMING SOON TO YOUR MAIL BOX
The final grade sheets for courses that are ending in April.
>
Please note the following when reporting your grades - you will not get a paper
copy of this e-mail so read carefully.
>
Do not fold, staple, spindle, mutilate, drop food on, rip or in any other way
mar the forms. Please, please don't lose them, I don't have a second copy.
>
I don't know why, but this reporting session the grades are run by FACULTY, so
most of you will be receiving two sets of sheets. PLEASE also note that grade
sign in sheets are included with the forms. These sign in sheets MUST be
returned either along with your final grades, or immediately after your
examination.
>
There are some general rules for submitting grades. YOU MUST LEAVE ABSOLUTELY
NO BLANK GRADES SOMETHING MUST BE REPORTED FOR EVERYONE. If a student did not
write the final examination the grade must be marked as F(DNW) and the
appropriate boxes filled in. Don't forget to also fill in the letter grade in
the appropriate place. In other words if John Smith received a B+ in your
course - you would submit the grade as B+ (under grade) and then fill in the B+
oval with a pencil.
>
If Jane Doe didn't write the final examination and she has not passed the
course you would fill in F (under grade) and the DNW box underqualifiers.
Please note the only box in the qualifiers you are allowed to use are the DNW
and the DEF ovals. You may only use the DEF qualifier if you have signed and
we have received a copy of the Petition form. Please note that on your science
grade sheets, you may not use this qualifier as the student must formally
petition through student programmes. Complicated - sometimes but ...
>
If you have someone attending your class who is not on the list (you really
shouldn't) please add their name to the back of the appropriate sheet with the
correct information.
>
Please complete the "GRADES DISTRIBUTION PROFILE" sheet and return it with
your
grades. These forms will be forwarded for review to the Chair of the Academic
Standards Committee.
>
If your grades do not fall within the following standards, they are classified
as Atypical and must be rationalized in writing.
>
For Faculty of Arts Courses
>
g.p.a.'s > 6.5 or < 3.5;
20% or more E/F grades
75% or more grades of B or higher
50% or more A/A+ grades
g.p.a. differentials of 1.0 or more between sections of the same course
>
These rules apply to courses where there are over 20 student in the class and
does not apply to 4,000 level courses
>
For Science Courses
>
30% or more grades of A/A+
30% or more grades of E/F
>
These rules apply to courses where there are over 15 student in the class and
also applies to all courses (including 4,000 level).
>
>
> For your information, the following courses are approved by the Faculty of
Pure
> and Applied Science: 1013/1014, 1025, 1505, 2015, 2030, 2041, 2090, 2320,
> 3033/3034, 3131/3132, 3241/3242, 3260, 3271/3272, 3410, 4141/4142.
>
>
> Your grades are DUE ON MY DESK NOT LATER THAN 5 BUSINESS DAYS AFTER THE LAST
DAY OF
> CLASSES OR AFTER THE FINAL EXAMINATION (for that course), WHICHEVER IS LATER.
> The absolute deadline on my desk is 3:00 p.m. on Thursday, MAY 2, 1996.
> This is not an unreasonable request. I also have deadlines to meet for
returning grade sheets, etc.
> Your final grade scanning sheets and grades distribution sheet are not to be
> put in my box, you must personally hand them someone in the Undergraduate
Office. We
> will then check to make sure they are correctly completed. If they are not,
> you will get them back immediately for corrections.
>
> Please note carefully.
>
> THE UNDERGRADUATE OFFICE DOES NOT GIVE OUT ANY, REPEAT ANY GRADES. IF YOU DO
> NOT POST THEM, THE STUDENT'S WILL HAVE TO WAIT UNTIL THEY ARE SENT IN THE
MAIL.
>
> I hope I haven't missed anything - if I have please let me know and I will
> attempt to rectify it for you.
>
> Sorry this is so long, but the information is necessary and if you read it
> carefully, I should have no problems with your grades for the Fall Term.
>
> REMEMBER GRADES ARE DUE 5 BUSINESS DAYS AFTER YOUR FINAL EXAMINATION OR 5
BUSINESS DAYS AFTER THE LAST CLASS, WHICHEVER IS LATER AND ABSOLUTELY NOT LATER
THAN MAY 2, 1996 AT
> 3:00 P.M.
>
> Thanks for your cooperation.
>
>
> Janice
>
From: "Israel Kleiner"
Date: Mon, 18 Mar 1996 10:59:37 +0000
Subject: Seminar in History...
SEMINAR IN HISTORY & PHILOSOPHY OF MATHEMATICS AND MATH EDUC
Hardy Grant
Emeritus Professor, York University
will give a talk on
SOME THOUGHTS ON THE HISTORY OF BEAUTY IN MATHEMATICS
Date: Friday, March 29, 1996
Time: 2:45-3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
"Euclid alone", says a modern poet, "has looked on beauty bare". But
- one may ask - did Euclid himself think so? Did anyone else in
ancient Greece? I shall try to identify the things that ancient
thinkers took to be beautiful, and to compare their sentiments with
the testimony of creative mathematicians about their subject in our
time. It will appear from this contrast that the rise , since the
Renaissance, of modern mathematics and of mathematized science
contributed a new dimension to western aesthetic sensibility. One
theoretician of beauty saw this with particular clarity, and I shall
briefly expound his views.
From: "Walter Tholen"
Date: Mon, 18 Mar 1996 14:43:22 -0500
Subject: Seminar Requirement
CONSTANZE PUMPLUEN
will give a talk entitled
HENSEL'S LEMMA
on
Friday, March 22, 1996 at 4 p.m. in Ross S175
ABSTRACT
In analogy to Newton's algorithm for approximating zeros of certain
differentiable functions defined on a real interval, Hensel's Lemma provides
sufficient conditions for finding zeros of a function defined on a complete
discrete valuation ring by the same method. We hall discuss this theorem, its
proof and its applications.
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
MASTERS MATHEMATICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: Elliott Pearl
Subject: topology lectures
Date: Wed, 20 Mar 96 14:53:19 EST
Ed Tymchatyn (USask) will be speaking in an ongoing seminar about the Menger
curve. Sessions begin tomorrow and will be held in Prof. Watson's office.
Continuing Monday 2:30-4:00, Tuesday 1:30-2:30, Thursday 1:30-2:30.
From: "Israel Kleiner"
Date: Thu, 21 Mar 1996 08:01:05 +0000
Subject: Seminar in History...
REMINDER
SEMINAR IN HISTORY &PHILOSOPHY OF MATH AND MATH EDUCATION
Professor Guenther Frei
Department of Mathematics and Statistics
University of Laval
will give a talk on
EULER'S CONVENIENT NUMBERS
Date: Friday, March 22, 1996
Time: 2:45 - 3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
In connection with the problem of factoring big numbers into primes
Euler discovered (1778) numbers he called "convenient" (idonei),
because they are convenient to test whether a given number is a prime
or not. After having derived various properties of these numbers he
found a list of 65 of them. It is still an open problem whether his
list is actually complete. Gauss (1801) gave a characterization of
these numbers in terms of the class group of quadratic forms.
From: "Primrose Miranda"
Date: Thu, 21 Mar 1996 12:16:58 -0500
Subject: Seminar - M.A. requirement
ENG ONG
will speak on
MODELS IN MULTIPLE DECREMENT THEORY
on
Friday, March 22, 1996 at 3:30 p.m. in 1154 Vari Hall
ABSTRACT
Usual treatments of multiple-decrement theory are on a nonselect basis, with
all rates of decrement depending only on attained age. We will look at the
theory on a select basis, based on the 1991 TSA paper by Prof. Promislow. The
single-decrement case will be presented, and the relationship between a
multiple-decrement model and those of the associated single-decrement models
will then be investigated.
MASTERS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: Man Wah Wong
Subject: Colloquium
Date: Thu, 21 Mar 96 16:21:25 EST
Dear Colleagues:
Please be reminded that Professor Rongqing Jia of the University of Alberta
will give the colloquium talk tomorrow at 4:00 p.m. in N638 Ross Building.
The title of the talk is "Approximation and Smoothness Properties of
Wavelets". Refreshments will be served in N620 Ross Building at 3:30 p.m.
If you are interested in joining us for dinner at about 7:30 p.m., please
let me know.
Sincerely,
M. W. Wong
From: Elliott Pearl
Subject: topology topology seminar seminar
Date: Sun, 24 Mar 96 17:46:05 EST
On Friday, March 29, 1996 in N638 Ross, beginning at 12:30 p.m.,
there will be two talks in the Topology seminar.
First, Jianping Zhu will speak on "+-Ramsey filters and \aleph_i spaces".
Abstract below.
Next, Franya Franek (McMaster) will speak on something completely different.
Title and abstract to be posted.
Regular attendees of the seminar, particularly the speakers, are requested
to arrive on time. We have the room until 2:45, I suspect.
+-Ramsey filters and \alepha_i spaces.
Jianping Zhu
The talk will contain the following results:
(1) In ZFC, there is a +-Ramsey filter which is not first countable;
(2) (Dow) Under p=c, there is a +-Ramsey filter which is not \alepha_3;
(3) If we add Cohen reals(any number) in a model of CH, then in the model there
is a +-Ramsey filter which is \omega_1 generated but not \alepha_3.
The third uses Simon's construction of a compact Frechet whose square is not
Frechet.
These partially answer Michael Hrusak's questions. Michael is not yet satisfied
because the following question is still open:
Open Question: There is in ZFC a +-Ramsey filter which is not \alepha_3?
From: Augustine Wong
Subject: Stats Seminar (UofT) - April 4 (fwd)
Date: Wed, 27 Mar 96 8:54:09 EST
Seminar
Department of Statistics
Thursday, 4 April 1996 at 4:00PM
Sidney Smith Hall ** Room 1074** (Joint with Dept. of Economics)
-------
On Bayesian Modelling of Fat Tails and Skewness
Mark Steel (with Carmen Fernandez)
Department of Econometrics, Tilburg University
ABSTRACT
We consider Bayesian analysis of the linear regression model under
independent sampling with non-standard errors. Often, one encounters
fat tails or skewed behaviour in empirical applications. We model fat
tails through general scale mixtures of Normals, and introduce
skewness through so-called skewed exponential power distributions.
Using a common reference prior, the existence of posterior moments of
the parameters is investigated. We find that properties of both the
design matrix and the mixing distribution crucially affect this issue.
For some classes of mixing distributions, we provide a full
characterization of the existence of moments. We identify some useful
characteristics that allow for an easy verification of the existence
of a wide range of moments. In addition, we consider actual inference
using such non-standard error distributions in an empirical context.
This often involves numerical integration in many dimensions, but is
shown to be quite feasible. A numerical implementation based on the
Gibbs sampler is recommended. We apply the theory to a number of
examples, involving financial data.
Coffee, Tea and Cookies will be served in the DeLury Lounge (SS6004) at 3:30pm.
From: Elliott Pearl
Subject: topology seminar abstract
Date: Tue, 26 Mar 96 15:00:30 EST
Here is the abstract of Prof. Franek's talk this Friday, at about 1:30, in N638
Franya Franek (McMaster), joint work with B. Balcar
Title: Structural Properties Of Universal Minimal Dynamical Systems For
Discrete Semigroups - the last chapter.
(I already spoke on the topic at the U of T seminar some time ago)
We'll show that for a discrete semigroup S there exists a uniquely
determined complete Boolena algebra B(S) - the algebra of clopen subsets
of M(S). M(S) is the phase space of the universal minimal dynamical
(topological) system for S and it is an extremally disconnected compact
Hausdorff space. We shall deal with this connection of semigroups and
complete Boolean algebras, focusing on structural properties of these
algebras. We shall show that B(S) is either atomic or atomless; that
B(S) is weakly homogenous provided S has a minimal left ideal; and that
for countable semigroups B(S) is semi-Cohen (and for special cases even
Cohen). We shall also present a class of what we call group-like semigroups
that includes commutative semigroups, inverse semigroups, and right groups.
The group reflection G(S) of a group-like semigroup S can be constructed via
universal minimal dynamical system for S and, moreover, B(S) and B(G(S)) are
the same.
For those who attanded my previous talk on the topic at U of T, there will
not be too much of a new material, but solutions to some of the unresolved
problems of that time will be presented.
From: "Primrose Miranda"
Date: Tue, 26 Mar 1996 15:49:40 -0500
Subject: Graduate Seminar
MAURICE TSANG
will give a talk entitled
STATIONARY POPULATION MODEL
on Friday, March 29, 1996 at 3:00 p.m. in 1154 Vari Hall
ABSTRACT
Stationary population model is the basic model in population analysis. It
assumes that in a closed group, there is no migration and the number of births
and the mortality profile are constant.
Conventional methods for solving stationary population problems require
integration and multiple integration of mortality functions. There are also
many approaches suggested by many researchers. The purpose of this seminar is
to present some of them including conventional integration method, general
reasoning by Professor Batten, 2-D diagram by Mr. Veit, 3-D diagram by
Professor Chan and general formulas by Professor Promislow.
M.A. REQUIREMENT FOR MASTER OF ARTS DEGREE
MASTERS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Israel Kleiner"
Date: Thu, 28 Mar 1996 07:47:55 +0000
Subject: Seminar in History...
REMINDER
SEMINAR IN HISTORY & PHILOSOPHY OF MATHEMATICS AND MATH EDUC
Hardy Grant
Emeritus Professor, York University
will give a talk on
SOME THOUGHTS ON THE HISTORY OF BEAUTY IN MATHEMATICS
Date: Friday, March 29, 1996
Time: 2:45-3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
"Euclid alone", says a modern poet, "has looked on beauty bare". But
- one may ask - did Euclid himself think so? Did anyone else in
ancient Greece? I shall try to identify the things that ancient
thinkers took to be beautiful, and to compare their sentiments with
the testimony of creative mathematicians about their subject in our
time. It will appear from this contrast that the rise , since the
Renaissance, of modern mathematics and of mathematized science
contributed a new dimension to western aesthetic sensibility. One
theoretician of beauty saw this with particular clarity, and I shall
briefly expound his views.
From: "Helene Massam"
Date: Wed, 3 Apr 1996 14:40:51 -0500
Subject: COLLOQUIUM
COLLOQUIUM ,DEPARTMENT OF MATHEMATICS AND STATISTICS
Professor Donald St. P. Richards
Department of Statistics
University of Virginia
will speak on
Algebraic Methods towards Higher-Order Probability Inequalities
Place : N638 Ross Building
Date: Thursday, April 11 , 1996
Time :4.00 p.m.
ABSTRACT
Orthant probability inequalities arise frequently in statistics
and probability, in the study of ranking and selection problems,
paired comparisons, Bonferroni bounds for test statistics in the
analysis of variance, total positivity, and other areas. In this
lecture we show that many familiar orthant probability
inequalities can be established by algebraic methods. Using the
theory of the characters of the symmetric group, and other finite
reflection groups, we also derive new probability inequalities
from which the classical orthant inequalities may be deduced as
special limiting cases. These results include new probability
inequalities for the bivariate normal distributions.
Refreshments will be served in N620 Ross Building at 3.30 p.m.
Date: Thu, 4 Apr 1996 15:21:17 -0500
From: "Tom Salisbury"
Subject: York-McMaster Probability Day
Probability Day - First Announcement
The Seventh Annual York-McMaster Probability Day will be held Friday,
April 26, 1996 at York University.
The speakers are Michael Aizenmann, Christian Borgs, and Ali Naddaf.
Titles and abstracts of Aizenmann and Naddaf appear below.
Exact times and locations will be announced soon, but we will probably
start at 1 p.m.
-----------------------------------------------------------
Michael Aizenman, Princeton University
"Continuum Percolation Web; Construction, Regularity,
and Conjectured Conformal Invariance"
Abstract:
The Percolation Web is a stochastic geometric object which
describes the large clusters of a critical percolation model by
means of a limit in which the fundamental scale of the model,
at which the connections are defined, is taken to zero.
The talk will address:
1) basic issues concerning the construction of the
scaling (continuum) limit,
2) regularity (H\"older continuity) of the paths of critical
percolation models,
3) basic properties of the connected clusters in d=2 dimensions
(finite ramification and countability) and their Hausdorff dimension
4) formulation of the percolation web in terms of the collection
of the realized paths,
5) the Web's conjectured conformal invariance.
-----------------------------------------------------------
Ali Naddaf, UBC
"Scaling Limit of Some Statistical Mechanical Models; a Central
Limit Theorem"
Abstract:
We study the continuum scaling limit of some statistical mechanical
models, defined by convex Hamiltonians which are gradient
perturbations of a massless free field. Using the homogenization
techniques, we prove a central limit theorem (CLT) for these models
and show that their long distance behavior is identical to a
(homogenized) continuum free field. Some new bounds on the 2-point
correlation functions of these models will be obtained.
-------------------------------------------------------------------------
This information is now on the Web at:
http://www.math.Yorku.ca/Who/Faculty/Madras/probsem.html
---------------------------------------------------------------------------
From: "Primrose Miranda"
Date: Tue, 9 Apr 1996 09:12:20 -0400
Subject: M.A. Thesis Defence
M.A. THESIS DEFENCE
GHEORGHE MIHAI IANCU
GLOBAL SOLUTIONS OF SEMILINEAR EVOLUTION EQUATIONS IN HILBERT SPACES
on
Tuesday, April 16, 1996 at 3:00 p.m. in 1158 Vari Hall
MASTER'S STUDENTS ARE EXPECTED TO ATTEND
Date: Tue, 9 Apr 1996 13:38:24 -0400 (EDT)
From: York cat
Subject: TSM Program
TORONTO SPRING MEETING on Category Theory - April 13/14, 1996
All lectures will be held in Vari Hall, Room D, on the York University campus
at 4700 Keele Street in North York (Metropolitan Toronto).
PROGRAM
Saturday: 9:00- 9:10 OPENING
9:10- 10:00 Robert Pare: Representables for double categories
10:10- 10:35 David B. Benson: Cartesian closure in categories of
Diers categories
10:40- 11:05 Andrew Ensor: Using sketches to represent notions
such as natural transformations
11:20- 11:45 Richard Squire: Applications of the Cantor-Bendixon
derivative to dualities
11:50- 12:15 Dorette Pronk: Cohomology of orbifolds
12:20- 12:45 Michael Makkai: On James Dolan's definition of weak
n-category
12:50- 2:15 LUNCH
2:20- 3:10 Maria Cristina Pedicchio: Recent developments in
commutator theory
3:15- 3:40 Aurelio Carboni: Syntactic characterization of
various classes of locally presentable categories
3:45- 4:10 Jonathon Funk: The locally connected coreflection of
a Grothendieck topos: an application of the
theory of locally presentable categories
4:20- 4:45 D. Pumplu"n: Metrics in convex modules
4:50- 5:30 DISCUSSION: The role of category theory in
undergraduate education
Moderator: F.W. Lawvere
Sunday: 9:10- 10:00 Andre' Joyal: Free bicompletion of categories -
construction and meaning
10:10- 10:35 Hongde Hu: Distributivity, softness and free
bicomplete categories
10:40- 11:05 Joanne Walters-Wayland: Metrically determined
subcategories of uniform spaces
11:20- 11:45 Christopher Gilmour: Realcompactifications and
Lindelo"fications of frames
11:50- 12:15 Sandro Fusco: Functorial treatment of the
Grothendieck construction
12:20- 12:45 Fred E. J. Linton: Connectedness and
(Sierpinski space)^2
Financial support from the Academic Iniatives Fund of the Department of
Mathematics and Statistics at York University is gratefully acknowledged.
From: "Primrose Miranda"
Date: Mon, 8 Apr 1996 14:57:13 -0400
Subject: Graduate Seminar
KAM CHEUNG KO
will give a talk entitled
SOME MATHEMATICAL MODELS FOR THE UNCERTAINTY INDUCED BY FUZZINESS
on Friday, April 12, 1996 at 12:00 p.m. in S176 Ross
ABSTRACT
The theory of fuzzy sets is a new approach about how to deal with
"uncertainty".
In general, two main categories of uncertainty are connected with "vagueness"
(or "fuzziness") and "ambiguity". Vagueness is associated with the difficulty
of making sharp or precise distinctions in the world. Ambiguity, on the other
hand, is associated with one-to-many relations. There are several classes of
measures of vagueness and ambiguity, fundamentally different from one another,
but the study of uncertainty within the general framework of the theory of
fuzzy sets helps to better comprehend the concepts of information and
complexity.
SEMINAR REQUIREMENT FOR MASTER OF ARTS DEGREE
ALL STATISTICS MASTERS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Helene Massam"
Date: Thu, 11 Apr 1996 10:37:23 -0400
Subject: COLLOQUIUM
REMINDER
This is a reminder for the colloquium this afternoon.
The talk will draw from statistics ,probablity and algebra.
--------------------------------------------------------------------------------
COLLOQUIUM ,DEPARTMENT OF MATHEMATICS AND STATISTICS
Professor Donald St. P. Richards
Department of Statistics
University of Virginia
will speak on
Algebraic Methods towards Higher-Order Probability Inequalities
Place : N638 Ross Building
Date: Thursday, April 11 , 1996
Time :4.00 p.m.
ABSTRACT
Orthant probability inequalities arise frequently in statistics
and probability, in the study of ranking and selection problems,
paired comparisons, Bonferroni bounds for test statistics in the
analysis of variance, total positivity, and other areas. In this
lecture we show that many familiar orthant probability
inequalities can be established by algebraic methods. Using the
theory of the characters of the symmetric group, and other finite
reflection groups, we also derive new probability inequalities
from which the classical orthant inequalities may be deduced as
special limiting cases. These results include new probability
inequalities for the bivariate normal distributions.
Refreshments will be served in N620 Ross Building at 3.30 p.m.
From: "Yuehua Wu"
Date: Thu, 11 Apr 1996 13:04:53 -0400
\documentstyle[11pt,fullpage]{article}
\pagestyle{empty}
\newcommand{\bskip}{\vspace{0.2in}}
\begin{document}
\centerline{\bf York University}
\centerline{\bf Department of Mathematics and Statistics}
\bskip
\centerline{\bf STATISTICS SEMINAR}
\bskip
\centerline{\bf Professor Ka-Sing Lau}
\centerline{Department of Mathematics and Statistics}
\centerline{University of Pittsburgh}
\bskip
\centerline{will speak on}
\bskip
\centerline{\bf On the Discount Sum of Bernoulli Random Variables}
\begin{center}
\begin{tabular}{ll}
{\bf Date: } & Friday, April 12, 1996. \\
{\bf Time: } & 10:30 a.m. \\
{\bf Place: } & N638 Ross
\end{tabular}
\end{center}
\bskip
\centerline{ABSTRACT}
\vspace{0.15in}
\noindent
Let $\{\bf \epsilon_n\}_{n=1}^\infty$ be i.i.d.
Bernoulli
random variables, i.e., $\{\bf \epsilon_n\}$ takes values $0$ and $1$
with probability $1/2$ each.
\vspace{0.15in}
\noindent
Let $\bf X = \sum _{n=1}^\infty \rho ^n \bf \epsilon_n$, $0< \rho <
1$, be the discount sum. We will discuss the absolute continuity and
singularity of the corresponding distribution measure $\mu_ \rho$.
The well known cases are when $\rho = 1/2$ and $1/3$ ($\mu_\rho$
are the uniform distribution and the Cantor measure respectively).
The interesting case is when $1/2 < \rho <1$, this is an old problem
and is still not completely understood. The recent investigation is
motivated by the fractal consideration.
\end{document}
From: "Janice Grant"
Date: Fri, 12 Apr 1996 15:53:03 -0400
Subject: examination booklets
This is information which you need to know regarding examination booklets and
deferred standing agreements. Please read it again carefully.
> THIS MEMO IS EXTREMELY IMPORTANT, PLEASE READ IT AND MAKE NOTE - IT IS
REGARDING
> WHERE TO PICK UP YOUR FINAL EXAMINATION BOOKLETS.
>
> I quote from the information received from a meeting today:
>
>
> FINAL EXAMINATION booklets
>
>
> During the Winter term official examination period (April 15- 29) the
examination
> booklet pick-up and drop-off points are open as follows:
>
> TIME LOCATION
>
> 8 - 8:30 a.m. Suite B, WOB and 101 Central Square
>
> 11:30 - noon Suite B, WOB and 101 Central Square
>
> 3 - 3:30 p.m. Suite B, WOB and 101 Central Square
>
> 6:30-7:00 p.m. SUITE B, WOB ONLY
>
> The above applied to MONDAY, TUESDAY, WEDNESDAY AND THURSDAY
>
> The pick-up locations will NOT be open on Fridays during the afternoon and
> evening pick-up times.
>
> If necessary, booklets may be picked up the day before the examination during
> the above pick-up times. However, it is imperative that the booklets are
> stored in a secure, locked storage area that is only accessible by the
> appropriate teaching staff.
>
> NOTE THE CHANGE TO THE BOOKLET PICK-UP/DROP-OFF SCHEDULE!!
>
> WE NO LONGER STAFF 101 CENTRAL SQUARE DURING THE 6:30 - 7:00 P.M. TIMESLOT.
>
>
> Questions regarding examination booklets should be directed to Lori
Sgarbossa,
> ext. 30536 or LORI@UNICAAT.YORKU.CA
>
>
> End of memo from the registrar's office.
>
>
> Now for something from me:
>
>
> THIS INFORMATION IS ONLY FOR UNDERGRADUATE COURSES - GRADUATE COURSES MAY BE
> DIFFERENT!!!
>
>
> There are some changes occuring regarding grade reporting procedures.
>
> 1. deferred standing agreements are now picked up and returned to the
> departmental office where they will be checked and then forwarded on to the
> Registrar's Office.
>
> 2. ONLY FACULTY OF ARTS , FACULTY OF FINE ARTS, FACULTY OF ENVIRONMENTAL
> STUDIES, STUDENTS MAY USE THE DEFERRED STANDING AGREEMENT FORM. Students in
> other faculties (Science, Atkinson) must petition to their home faculty for
> deferred standing (we get letters much later).
>
> 3. your grades are due on my desk, not later than 7 days (including
> weekends) after your final examination, or if you are not having a final
> examination, 7 days (including weekends) after the end of classes. This is a
> departure from previous years, but this is what the registrar's office has
> requested. I will be submitting grades as they are received, not in one
> large allotment.
>
> 4. the grade reporting sheets are going to be the same as in previous
> years, where you will use a PENCIL to mark the appropriate place. You must
> submit a letter grade in the appropriate place and mark in PENCIL the circle
> associated with the grade. PLEASE DO NOT USE THE DEFERRED QUALIFIER AT ALL.
> YOU ALSO MAY NOT LEAVE ANY GRADE BLANK - YOU MUST FILL IN SOMETHING. I will
> have more to say when I get the grade sheets on my desk (of course via
e-mail).
>
> If you have any questions, I would be happy to address them. I again stress
> that is is imperative that you read this e-mail regarding final examination
> booklets and other things as you will received NOTHING in your mail box.
>
>
> Janice
>
>
>
> --
> Janice Grant e-mail
janiceg@mathstat.yorku.ca
> Administrative Assistant
> Undergraduate Mathematics and Statistics
> N503 Ross Building
> Telephone: 416-736-2100 ext. 33973
> Fax: 416-736-5757
>
> *****forget the dog - beware of the CAT*****
>-- End of excerpt from Janice Grant
From: "Israel Kleiner"
Date: Thu, 11 Apr 1996 09:18:15 +0000
Subject: Seminar in History...
REMINDER
SEMINAR IN HISTORY & PHILOSOPHY OF MATHEMATICS AND MATH EDUC
Professor Trueman MacHenry, York University
will speak on
COUNTING REVISITED
Date: Friday, April 12, 1996
Time: 2:45-3:45 p.m.
Place: N.638 Ross Bldg.
ABSTRACT
The talk concerns the geography and history of counting and includes
along with a survey of the evidence, some speculations concerning its
evolution, and an account of a recent tantalizing theory about its
origins.
From: "Janice Grant"
Date: Mon, 15 Apr 1996 14:35:00 -0400
To: Teachers@mathstat.yorku.ca
Subject: Deferred Examinations
Cc: Karen.Pellegrino@mathstat.yorku.ca
This e-mail is just to make sure that you have the correct information regarding
Petitions for Deferred Standing for this examination period. We are getting
calls from students stating that they are unable to write their exam(s) and we
have been telling them they must contact the Professor in question, with
DOCUMENTED EVIDENCE as to the need to defer.
Please note carefully that the DEFERRED STANDING AGREEMENT can only be used for
those students who are in the Faculty of Arts, Education, Environmental Studies
and Fine Arts. Any other students must formally petition to their Home Faculty
(they will be required to get input from the Professor).
The Deferred Standing Agreement form can be picked up in the Undergraduate
Office or the Registrar's Office. Once the form is completed the student then
brings it to the Undergraduate office where we give the student a copy and
forward a copy to you and, of course, we keep a copy. Generally nothing
further happens until the grade is forwarded by the Professor to my office.
Please note that the forms must be received in the Undergraduate office not
later than May 1.
For students who must formally petition (Science, Atkinson, Admin. Studies,
etc.) you may be required to fill out course summary forms and if the petition
is granted, you will receive a letter from the appropriate Faculty stating that
the petition was granted and the date they must write the examination by.
Students generally have two weeks after the examination to submit this type of
petition.
Please be aware of the fact that the MATH/STATS department has courses in BOTH
FACULTY OF ARTS AND FACULTY OF PURE AND APPLIED SCIENCE which means that we
will be using two different ways to defer final examinations. Hopefully this
will change in the near future, but for now, we just have to put up with
different rules and ways of doing things.
If you have questions, please call me and I will attempt to answer them.
Janice
--
Janice Grant e-mail janiceg@mathstat.yorku.ca
Administrative Assistant
Undergraduate Mathematics and Statistics
N503 Ross Building
Telephone: 416-736-2100 ext. 33973
Fax: 416-736-5757
*****forget the dog - beware of the CAT*****
From: "Walter Tholen"
Date: Mon, 15 Apr 1996 17:07:51 -0400
To: faculty@mathstat.yorku.ca, guests@mathstat.yorku.ca,
grads@mathstat.yorku.ca
Subject: Category Theory Seminar
Professor Maria Cristina Pedicchio (University of Trieste, Italy) will give a
lecture on
"Grids and topological systems"
on Thursday, April 18, 1996, at 2:30pm in N638Ross.
Walter Tholen will give a talk on
"Separated and connected maps"
on the same day at 3:30pm in N638Ross.
Everybody is welcome to attend.
--
Walter Tholen tel: (1-416) 736 5250
Dept. of Mathematics and Statistics or 736 2100 ext. 33918
York University fax: (1-416) 736 5757
North York, Ontario email: tholen@mathstat.yorku.ca
Canada M3J 1P3 web: http://www.math.yorku.ca/Who/Faculty/Tholen/menu.html
Date: Tue, 16 Apr 1996 14:30:06 -0400
From: "Tom Salisbury"
To: aizenman@phoenix.princeton.edu, alawnicz@gatto.chem.utoronto.ca,
alex@algorithmics.com, alisong@utstat.toronto.edu,
andrey@utstat.toronto.edu, ardsg@acadvm1.uottawa.ca,
bgisg@acadvm1.uottawa.ca, cadenill@fmgmt.mgmt.utoronto.ca,
calbanes@credit.erin.toronto.edu, cbez@uhura.cc.rochester.edu,
cdcutler@math.uwaterloo.ca, cmlr@troi.cc.rochester.edu,
conlon@math.lsa.umich.edu, cran@db1.cc.rochester.edu,
d-mathfa@mcmail.cis.mcmaster.ca, dadawson@carleton.ca,
dmdsg@acadvm1.uottawa.ca, faculty@mathstat.yorku.ca,
gleb@icarus.math.mcmaster.edu, gnord@uwovax.uwo.ca,
grads@mathstat.yorku.ca, guests@mathstat.yorku.ca,
hlynka@ucc.uwindsor.ca, iscoe@algorithmics.com,
jeff@utstat.toronto.edu, korolyuk@clid.yorku.ca,
kulperger@stats.uwo.ca, mevans@utstat.toronto.edu,
miklos_csorgo@carleton.ca, mthjon@ubvmsb.cc.buffalo.edu,
naddaf@math.ubc.ca, pbmilter@cs.toronto.edu,
pkim@sgi1.mathstat.uoguelph.ca, radford@utstat.toronto.edu,
reiss@math.toronto.ca, seco@math.toronto.edu,
swhittin@alchemy.chem.utoronto.ca, tl@look1.apmaths.uwo.ca,
vpetrov@msnet.mathstat.uoguelph.ca
Subject: York-McMaster Probability day, 2nd announcement
The Seventh Annual York-McMaster Probability Day will be held Friday,
April 26, 1996 at York University.
The speakers are Michael Aizenmann, Christian Borgs, and Ali Naddaf.
Schedule:
1:15 - 2:15 Christian Borgs
2:15 - 3:15 Michael Aizenmann
3:15 - 3:45 Coffee
3:45 - 4:45 Ali Naddaf
All talks will be held in Vari hall 1154.
A group will meet for lunch at 12:00 outside Room N623 of the
Ross building (North wing). Dinner at a restaurant is planned following
the talks.
Titles for all three talks appear below, as do abstracts for the
talks of Aizenmann and Naddaf, and directions for reaching York.
----------------------------------------------------------------
Michael Aizenman, Princeton University
"Continuum Percolation Web; Construction, Regularity,
and Conjectured Conformal Invariance"
Abstract:
The Percolation Web is a stochastic geometric object which
describes the large clusters of a critical percolation model by
means of a limit in which the fundamental scale of the model,
at which the connections are defined, is taken to zero.
The talk will address:
1) basic issues concerning the construction of the
scaling (continuum) limit,
2) regularity (H\"older continuity) of the paths of critical
percolation models,
3) basic properties of the connected clusters in d=2 dimensions
(finite ramification and countability) and their Hausdorff dimension
4) formulation of the percolation web in terms of the collection
of the realized paths,
5) the Web's conjectured conformal invariance.
-----------------------------------------------------------
Christian Borgs, Universitaet Leipzig
"Construction and Scale Invariance of the Incipient Infinite Cluster"
-----------------------------------------------------------
Ali Naddaf, UBC
"Scaling Limit of Some Statistical Mechanical Models; a Central
Limit Theorem"
Abstract:
We study the continuum scaling limit of some statistical mechanical
models, defined by convex Hamiltonians which are gradient
perturbations of a massless free field. Using the homogenization
techniques, we prove a central limit theorem (CLT) for these models
and show that their long distance behavior is identical to a
(homogenized) continuum free field. Some new bounds on the 2-point
correlation functions of these models will be obtained.
-------------------------------------------------------------------------
Directions:
York University is located in Metropolitan Toronto, south of Steeles Ave.,
and west of Keele St. To reach it, follow highway 401 to highway 400, go
North on highway 400 to Finch Ave, go East on Finch to Keele, and North on
Keele. You will soon see the University on your left. Enter the University
by the main entrance (at a set of traffic lights on Keele). You will see
Vari Hall dead ahead (a yellow round building), and the Ross building
directly behind it. At the first stop sign, turn left and follow the signs
for parking lot 8A.
For maps of the campus, consult the home page of York University:
http://www.yorku.ca/
-------------------------------------------------------------------------
This information is now on the Web at:
http://www.math.Yorku.ca/Who/Faculty/Madras/probsem.html
---------------------------------------------------------------------------
From: "Walter Tholen"
Date: Tue, 16 Apr 1996 19:13:48 -0400
To: faculty@mathstat.yorku.ca, guests@mathstat.yorku.ca,
grads@mathstat.yorku.ca
Subject: Category Theory Seminar
In addition to the talks by M. C. Pedicchio at 2:30 and by W. Tholen at 3:30 as
announced previously, there will be a third talk in the Category Theory Seminar
by
Dr. Dorette Pronk (Rijksuniversitet Utrecht and Dalhousie University) on
"Etendues and Stacks"
on Thursday, April 18, at 4:30 in N638Ross. Everybody is welcome to attend.
--
Walter Tholen tel: (1-416) 736 5250
Dept. of Mathematics and Statistics or 736 2100 ext. 33918
York University fax: (1-416) 736 5757
North York, Ontario email: tholen@mathstat.yorku.ca
Canada M3J 1P3 web: http://www.math.yorku.ca/Who/Faculty/Tholen/menu.html
From: "Primrose Miranda"
Date: Wed, 17 Apr 1996 11:46:10 -0400
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Graduate Student Seminar
Guojie Liu
will give a talk entitled
Sinusoidal Signals With Random Amplitude:
Least-Square Estimators and Their Statistical Analysis
On Thursday, April 25 at 11:00am in S638 Ross
ABSTRACT
The asymptotic properties of constrained and unconstrained least-squares
estimate of the parameters of a random amplitude sinusoid are analyzed. An
explicit formula for the asymptotic covariance matrix of the estimation errors
is derived for both the constrained and unconstrained estimators. Accuarcy
aspects are investigated with the following main results. For a certain
weighing matrix, which is shown to be the same for the constrained
and unconstrained methods, the estimation errors acheive their lower bounds. It
is proven that in the optimal case, the constrained method always outperforms
the unconstrained method. It is also proven that the accuarcy of the optimal
estimators improve as the number of least-squares equations increases.
(SEMINAR REQUIREMENT FOR M.A. DEGREE)
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Susan Rainey"
Date: Thu, 18 Apr 1996 12:10:32 -0400
To: council@mathstat.yorku.ca
Subject: Reminder
Next meeting is Tuesday April 23 at 4:00p.m. in S173R. The main topic to be
discussed will be "Restructuring". Please submit another other agenda items
as soon as possible. Thank you.
--
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Susan Rainey, Sec to Chair, Mathematics and Statistics
N522 Ross Bldg, (416) 736-5250 ext. 22555 -- fax: (416) 736-5757
York University, 4700 Keele Street, North York, Ontario M3J 1P3
NOTE: New e-mail address: srainey@mathstat.yorku.ca
Some days it's just not worth chewing through the leather straps
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Date: Thu, 18 Apr 1996 12:42:21 -0400
From: "Neal Madras"
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca, stats@mathstat.yorku.ca
Subject: probability seminar April 23
Probability seminar next week:
Tuesday, April 23: George L. O'Brien (York University):
"Loosening tightness"
1:30 p.m. in N638 Ross
ABSTRACT:
Conditions are given which are equivalent to uniform tightness in the weak
convergence context and exponential tightness in the large deviation
context. It is shown both by general considerations and by virtue of
examples that these conditions can be much easier to verify than tightness
itself. In one example, Donsker's funtional central limit theorem in
D[0,1] is shown to be a simple consequence of the corresponding theorem
for C[0,1] and that in particular, no detailed consideration of compact
sets in D[0,1] is required. In a second example, a relatively simple
tightness argument is provided for a large deviation principle for a class
of processes including all spectrally positive stable processes.
From: Augustine Wong
Subject: Stats Seminar - April 26
To: stats@clid.math.yorku.ca
Date: Fri, 19 Apr 96 17:16:18 EDT
Cc: grads@clid.math.yorku.ca
Hi,
Enclosed is the latex version of the abstract for the
statistics seminar on April 26.
Please note the change in time. It is on 11:30am
rather than the usual 10:30am.
See you there.
Augustine
****************************************
\documentstyle[11pt,fullpage]{article}
\pagestyle{empty}
\newcommand{\bskip}{\vspace{0.2in}}
\begin{document}
\centerline{\bf York University}
\centerline{\bf Department of Mathematics and Statistics}
\bskip
\centerline{\bf STATISTICS SEMINAR}
\bskip
\centerline{\bf Dr. R. Moeanaddin}
\centerline{Shiraz University}
\bskip
\centerline{will speak on}
\bskip
\centerline{\bf Conditional Mean and Conditional Variance of Bilinear Models}
\begin{center}
\begin{tabular}{ll}
{\bf Date: } & Friday, April 26, 1996. \\
{\bf Time: } & 11:30 a.m. \\
{\bf Place: } & N638 Ross
\end{tabular}
\end{center}
\bskip
\centerline{ABSTRACT}
\vspace{0.15in}
\noindent
In this article we consider the problem of evaluating the conditional mean
and the conditional variance of some classes of bilinear time series models.
We show that for some simple models the non-parametric estimates of the
conditional mean and the conditional variance can be used as a graphical
tool for distinguishing ARMA and bilinear model and identifying the adequate
bilinear model. It may be mentioned that in the context of linear model (AR,
MA, ARMA) the conditional mean shows a straight line pattern.
\[
E( Z(t) | Z(t-j) = x ) = a + b x, \hspace{0.5in} j=1,2, \ldots.
\]
Some theoretical results are also included.
\vspace{0.15in}
\noindent
{\bf Note: The starting time is 11:30 am rather than the usual 10:30 am.}
\end{document}
--
---------------------------------------------------------------------
| Augustine C. M. Wong | email: august@mathstat.yorku.ca |
---------------------------------------------------------------------
From: "Primrose Miranda"
Date: Mon, 22 Apr 1996 15:39:55 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
QUNSHENG ZHOU
will give a talk entitled
CONSISTENT ESTIMATES OF SUPER IMPOSED EXPONENTIAL SIGNALS
WHEN SOME OBSERVATIONS ARE MISSING
on Thursday, April 25, 1996 at 10:00 a.m. in N638 Ross
ABSTRACT
Methods are proposed for estimating the parameters of undamped exponential
signals when observations are missing. Some consistency results have been
established. The finite sample behavior of the proposed methods have been
studied by Monte Carlo simulation.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Walter Tholen"
Date: Mon, 22 Apr 1996 17:20:39 -0400
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca,
guests@mathstat.yorku.ca
Subject: Category Theory Seminar
Professor Christopher Gilmour (University of Cape Town) will give a talk on
Realcompactifications, Lindelo"fications and cozero bases
Day&Time: Thursday, April 25, at 2:30pm
Place: N 638 Ross
ABSTRACT:
Every Lindelo"f topological space is realcompact and it is well
known that the converse is false. However in the setting of frames, ie.
lattice theoretic generalisations of topologies, there is good evidence
that, at least in some respects, the two concepts
should coincide. We discuss various notions of realcompactness for frames
and the relationships between them. Of particular importance is the role
of the cozero elements. The appropriate setting for spaces is provided by
the Alexandroff spaces and, for frames, their counterpart the regular
sigma-frames. We will indicate some new proofs in frames which extend
classical topological results that relate compactifications,
realcompactifications, pseudocompactness and properties of cozero-bases.
************************************************************************
Afterwards, at 3:30 pm, Walter Tholen will speak on
Separated and connected maps
(talk postponed from last week). Everyone is welcome to attend.
--
Walter Tholen tel: (1-416) 736 5250
Dept. of Mathematics and Statistics or 736 2100 ext. 33918
York University fax: (1-416) 736 5757
North York, Ontario email: tholen@mathstat.yorku.ca
Canada M3J 1P3 web: http://www.math.yorku.ca/Who/Faculty/Tholen/menu.html
From: "Primrose Miranda"
Date: Tue, 23 Apr 1996 15:13:36 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
TILAYE TESHAGER
will give a talk entitled
GRADUATION (THE REVISION OF ESTIMATES)
on Friday, April 26, 1996 at 2:30 p.m. in 1158 Vari Hall
ABSTRACT
Graduation is an exercise in statistical estimation, specifically in a
situation where a sequence of estimates is to be produced, such as mortality
rates by age. The graduation process must take into account the presumed
relationship that exists among the elements in the sequence under
consideration, and called this prior opinion about the data.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Wed, 24 Apr 1996 12:48:13 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
YUN YI
will give a talk entitled
A GENERAL AKAIKE-TYPE CRITERION FOR MODEL SELECTION IN ROBUST REGRESSION
on Monday, April 29, 1996 at 9:00 a.m. in N638 Ross
ABSTRACT
Akaike's procedure (1970) for selecting a model minimises an estimate of the
expected squared error in predicting new, independent observations. This
selection criterion was designed for models fitted by least squares. A
different model-fitting technique, such as least absolute deviation regression,
requires an appropriate model selection procedure. This paper presents a
general Akaike-type criterion applicable to a wide variety of loss functions
for model fitting. It requires only that the function be convex with a unique
minimum, and twice differentiable in expectation. Simulations show that the
estimators proposed here well approximate their respective prediction errors.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Fri, 26 Apr 1996 16:16:05 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
WENBIAO ZHANG
will give a talk entitled
Analysis of Ordinal Paired Comparison Data
on Thursday, May 2 at 11:00 a.m. in N638 Ross
Abstract
The method of paired comparisons is used primarily in
cases when the objects to be compared can be judged only
subjectively: that is to say, when it is impossible or
impracticable to make relevant measurements in order to
decide which of two objects is preferable.
Two types of models are dicussed for paired comparisons
of several treatments using ordinal scales such as (A<<B, A>>B,A>>>B), where A<<B), special cases of the
models using logit transforms simplify to the Bradley-Terry
model.
When the same raters compare each pair of treatments, one can
allow within-rater dependence by fitting the models with
constrained maximum likelihood.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Primrose Miranda"
Date: Fri, 26 Apr 1996 14:43:33 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
WENBIAO ZHOU
will give a talk entitled
Analysis of Ordinal Paired Comparison Data
on Thursday, May 2 at 11:00 a.m. in N638 Ross
Abstract
The method of paired comparisons is used primarily in
cases when the objects to be compared can be judged only
subjectively: that is to say, when it is impossible or
impracticable to make relevant measurements in order to
decide which of two objects is preferable.
Two types of models are dicussed for paired comparisons
of several treatments using ordinal scales such as (A<<B, A>>B,A>>>B), where A<<B), special cases of the
models using logit transforms simplify to the Bradley-Terry
model.
When the same raters compare each pair of treatments, one can
allow within-rater dependence by fitting the models with
constrained maximum likelihood.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTERS STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "morton Abramson"
Date: Tue, 30 Apr 1996 12:20:45 -0400
X-Mailer: Z-Mail (3.0.1 23feb94)
To: Faculty@mathstat.yorku.ca
Subject: correction Re: pure math section, meeting re:hiring
The date should be TUE MAY 7 sorry
> Subject: pure math section, meeting re:hiring
> There will be a meeting of THE PURE MATH SECTION TUE MAY 7 1996
> 10A.M. N638R
> Subject; hiring (due to retirement there is a possibility of hiring)
>
> --
> Morton Abramson
> Dept of Maths
> York University
> North York, Ont M3J 1P3
> 416-736-5250 or 416 736-2100 ext 66087
> abramson@mathstat.yorku.ca
>-- End of excerpt from morton Abramson
--
Morton Abramson
Dept of Maths
York University
North York, Ont M3J 1P3
416-736-5250 or 416 736-2100 ext 66087
abramson@mathstat.yorku.ca
From: "Primrose Miranda"
Date: Wed, 1 May 1996 14:38:57 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Student Seminar
CHRISTOPHER BENSON
will give a talk entitled
THE KOLMOGOROV-SMIRNOV STATISTICS
on Thursday, May 9, 1996 at 2:00 p.m. in N638 Ross
ABSTRACT
The Kolmogorov-Smirnov statistics can be used for testing the fit of a model.
These will be discussed, and an outline of their derviation will be given
using the empirical distribution, the Brownian bridge, the Glivenko-Cantelli
theorem, and the central limit and weak convergence theorems for random
functions.
SEMINAR REQUIREMENT FOR M.A. DEGREE
MASTER'S STATISTICS STUDENTS ARE EXPECTED TO ATTEND THE TALK
From: "Martin Muldoon"
Date: Mon, 6 May 1996 15:22:39 -0400
To: faculty@mathstat.yorku.ca, grads@mathstat.yorku.ca
Subject: Analysis Seminar
ANALYSIS SEMINAR
Professor Mioljub Niki\'c
University of Belgrade
"Certain classes of analytic functions and
some inequalities in the algebra C(T)"
1154 Vari Hall
3:00 p.m., Wednesday, May 8, 1996
Abstract: The object is to generalize certain classes of the holomorphic
functions in the algebra C(T) concerning the Frechet derivative and to prove
some inequalities in this algebra.
From: "Primrose Miranda"
Date: Tue, 7 May 1996 13:17:06 -0400
To: grads@mathstat.yorku.ca, gradfaculty@mathstat.yorku.ca
Subject: Graduate Seminar
This is to inform you that Chris Benson's talk entitled "The Kolmogorov-Smirnov
Statistics" scheduled to take place on May 9 has been postponed to Friday, May
10, 11:00 a.m. in N638 Ross.