Spectral gap and two point function estimates for mean-field spin glass models

Abstract: 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.

mathematical physics

Audience: researchers in the discipline

One world IAMP mathematical physics seminar

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