Probability Day - First Announcement

Date: Tue, 16 Apr 1996 14:30:06 -0400
From: "Tom Salisbury" 
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.

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"


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"


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.



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: