Mark Kac Seminar

February 8, 2008

introduction talks archive contact location

Location: Utrecht, ADD (Achter de Dom 22-29), room 001

11:15-13:00 speaker: Roberto Fernández (Rouen) title: Cluster expansions for hard-core systems: Overview and convergence results (1)

abstract: 

Lecture 1: Overview of cluster expansions

Introduced to describe low-density or high-temperature systems, cluster expansions have become the basic tool for rigorous perturbative arguments.

The first lecture will deal with the following general issues:
(1) presentation of the general setting for hard-core systems;
(2) review of applications in statistical mechanics and probability theory, and
(3) Penrose tree-graph identity.

additional material: Find here the slides of the lecture (1MB).
 

14:15-16:00 speaker: Erwin Bolthausen (Zürich) title: On some generalizations of the generalized random energy model


abstract:

The generalized random energy model (GREM) is a simple spin glass model. However, several important aspects in spin glass theory cannot be illuminated by this model, most notably ultrametricity because the GREM is hierarchically constructed, and the chaos property because the GREM does not have the chaos property predicted for the SK-model. We propose some generalization of the GREM which hopefully shed some light on these important open problems in spin glass theory.
 

 
Mark Kac Seminar 2007-2008  

last updated: 31 mrt 2008 by Markus