Horng-Tzer Yau: Spectral gap and two point function estimates for mean-field spin glass models

Описание к видео Horng-Tzer Yau: Spectral gap and two point function estimates for mean-field spin glass models

In this lecture, we’ll review some recent results regarding spectral gaps and logarithmic Sobolev inequality for Glauber dynamics of mean-field spin glass models. In particular, we will present a method to prove that the spectral gap of the Glauber dynamics is of order one at sufficiently high temperature. In addition, we will review certain estimates on two point functions for the SK model satisfying a modified AT condition.

One world IAMP mathematical physics seminar

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