报 告 人：刘伟 武汉大学
报告时间：2020年11月16日 15:00-18:00
地 点：腾讯会议 （ID： 200 498 522）
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 has 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.
报告人简介：
刘伟，武汉大学 教授，研究方向为随机分析，大偏差，泛函不等式。在 Stochastic Processes and Their Applications等期刊发表学术论文多篇；主持国家级及省部级等各类项目多项。
