报告人：刘伟（武汉大学）

时  间：2023年3月3日上午10:00-11:30

地  点：腾讯会议ID：767224425（无密码）

内容摘要:

In this talk we show some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, when the confinement potential have many local minimums. Our uniform log-Sobolev inequality, based on Zegarlinski‘s theorem for Gibbs measures, allows us to obtain the exponential convergence in entropy of the McKean-Vlasov equation with an explicit rate constant, generalizing the result of Carrillo-McCann-Villani(2003) by means of the displacement convexity approach, or Malrieu(2001,2003) by Bakry-Emery technique or the recent work of Bolley-Gentil-Guillin by dissipation of the Wasserstein distance.This talk is based on a joint work with Arnaud Guillin, Liming Wu and Chaoen Zhang.

个人简介：

刘伟，武汉大学数学与统计学院教授，博士生导师。2009年博士毕业留校任教。目前主要从事随机分析，随机算法，最优传输和机器学习方面的研究，主持国家自科面上项目，参与国家自科重点项目，在CMP、JMPA、AOAP、SPA、AIHP等一流学术期刊发表多篇学术论文。

联系人：陈娴