Spectral gap and two point functions forspin glass models
Holder： Changji Xu (Harvard University)
Time：2023-12-20 13:30-14:30
Location：智华楼王选报告厅
Abstract:
In this talk, I will discuss recent progress in mean-field spin glass models. Specifically, I wil present amethod to prove that the spectral gap of the Dirichlet form associated with Glauber dynamics is of order oneat sufficiently high temperatures. Furthermore, wil talk about operator norm bounds on correlation matrixfor the SK model under high-temperature conditions.
About the Speaker:
Changji Xu is a postdoctoral fellow in the Center of Mathematical Sciences and Applications at Harvard University. His mentor is Prof. Horng-Tzer Yau. He received his 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. He is interested in probability theory.
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