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Percolation of loop soups and Gaussian free fields

2026-05-15 11:23:32

时间:2026年5月21日(星期四)14:00-15:00

地点:西湖大学云谷校区E14-212


主讲人:蔡振豪 Weizmann Institute of Science

报告题目:Percolation of loop soups and Gaussian free fields

报告摘要: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).