Time：14:00-16:30, Thursday, May 21 2026
Venue：E14-212
Speaker：Zhenhao Cai, Weizmann Institute of Science
Title：Percolation of loop soups and Gaussian free fields
Abstract：It was known since the early 2000s that the Ray-Knight type theorems can induce a deep connection between the loop soup model and the Gaussian free field. Nevertheless, since then, the study of the percolation of these two models has remained parallel. After a decade, the discovery of the metric graph (a.k.a. cable graph) perspective completely changed this situation and elevated the entire topic to a new level. This talk will introduce the main progress in the past five years, including a series of joint works with Jian Ding (Peking University).
