Past Events

Starting in the 70's, physicists have introduced a class of random energy functions and corresponding random probability distributions (Gibbs measures), the are known as mean-field spin glasses. Over the years, it has become increasingly clear that a...

This is a continuation of the the first lecture given on Wednesday. See here for more details

This is a continuation of the the first lecture given on Wednesday. See here for more details

TBA

Besides being a classical research topic at the juncture of combinatorics and probability with applications in several other disciplines, random graphs and their phase transitions have been attracting the interest of the statistical physics community...

In this second lecture we introduce the notions of free energy barriers and overlap gaps, and their connection to spectral gap inequalities and algorithmic hardness results. This is a continuation of the the first lecture given on Monday. See here...

Historically, mean field spin glass models come from the study of statistical physics and have served as prototypical examples of complex energy landscapes. To tackle these questions statistical physicists developed a new class of tools, such as the...

In order to study interesting arithmetic, algebraic, analytic and geometric properties of binary forms, we often need a way to order them. I will discuss some natural ways to order binary forms F(x , y) with integer coefficients, especially those of...

This fourth and final lecture will focus on Widom-Rowlinson dynamics on the continuum. This is a continuation of the first lecture given on Monday. See here for more details

This third lecture will focus on Glauber dynamics on random graphs. This is a continuation of the first lecture given on Monday. See here for more details