讲座题目: Some results on anchored Nash inequality

讲座摘要: In this talk, we will prove anchored Nash inequality on a general infinite graph under moment conditions of associated weights. Based on such anchored Nash inequality, on-diagonal upper bound for a general degenerate long range random walk will be established. In particular, the case of long-range random walk in supercritical Bernoulli percolation cluster can be included. The talk is based on a joint work with S.Andres, M.Slowik and K.Yin.

讲座时间：2026年6月22日（周一）下午15:00

讲座方式：线下举办（综合大楼806）

嘉宾简介：陈昕，上海交通大学数学科学学院教授、博士生导师，在英国华威大学(University of Warwick)获得博士学位。研究兴趣集中于随机分析方向的若干问题，在包括Ann. Probab.，Probab. Theory Related Fields，Comm. Math. Phys.， Math. Ann.，J. Funct. Anal., Trans. Amer. Math. Soc.，Ann. Appl. Probab.在内的本领域权威期刊上发表(或已接受发表)多篇论文，主持国家自然科学基金优秀青年科学基金等项目。