Abstract：

In this talk, I will discuss recent progress in mean-field spin glass models. Specifically, I will present a method to prove that the spectral gap of the Dirichlet form associated with Glauber dynamics is of order one at sufficiently high temperatures. Furthermore, I will talk about estimates on two-point functions for the SK model under high-temperature conditions.

About the Speaker:

Changji Xu 徐长吉

Harvard University

I am a postdoctoral fellow in the Center of Mathematical Sciences and Applications at Harvard University. My mentor is Prof. Horng-Tzer Yau. I received my Ph.D. in statistics at the University of Chicago in 2020, advised by Prof. Jian Ding, and a B.S. in mathematics at Tsinghua University in 2015.

I am interested in probability theory.