报告人：刘伟（武汉大学）

时间：2022年06月21日09:00开始

腾讯会议ID：578 225 294

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.

简介：刘伟，武汉大学教授。主要从事随机分析、大偏差、泛函不等式的研究，已在Comm. Math. Phys., Stochastic Process. Appl.,  J. Math. Pures Appl. ， SIAM J. Numer. Anal.等国际权威数学期刊发表学术论文50余篇。

邀请人：周国立

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