Probability Seminar - Recent progress on Potts and random cluster models on locally-tree-like graphs
报告人：杜航（MIT）
时间：2026-01-14 16:10-17:10
地点：智华楼 413
Abstract: In this talk I will survey recent progress on the Potts model and the random-cluster model on locally tree-like graphs, focusing in particular on the locally regular-tree-like regime. These developments include the resolution of the long-standing Bethe prediction for the free-energy density as well as conjectures concerning the weak limits of the associated Gibbs measures. I will highlight how combinatorial and probabilistic ideas can be combined to shed light on the non-rigorous statistical physics insights. This talk is based on several recent work by different groups, including my joint work with Yanxin Zhou (Stanford).
Bio: Hang Du is a third‑year Ph.D student at Department of Mathematics, MIT, advised by Prof. Nike Sun. Previously, he got a B.S. degree in mathematics from Peking University, working with Prof. Jian Ding and Prof. Xinyi Li. His resarch interests are in probability, statistical physics and combinatorial statistics
