时间：2026年1月7日（周三）15:00
地点: E14-212
报告人：麻省理工学院，杜航
讲座主题：Recent progress on Potts and random cluster models on locally-tree-like graphs
讲座摘要：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).
