报告题目：Concentration inequalities and exponential convergence for mean-field weakly interacting particle system and McKean-Vlasov equation
报告人：刘伟教授（武汉大学）
报告时间：2025年5月16日9:30-10:30
报告地点：数学科学学院A413
内容简介：In this talk, we will show concentration inequalities, exponential convergence in the Wasserstein metric, and uniform-in-time propagation of chaos for the mean-field weakly interacting particle system related to McKean-Vlasov equation. By means of the known approximate componentwise reflection coupling and with the help of some new cost function, we obtain explicit estimates for those three problems, avoiding the technical conditions in the known results. Our results apply to possibly multi-well confinement potentials, and interaction potentials W with bounded second mixed derivatives which are not too big, so that there is no phase transition. Several examples are provided to illustrate the results.
报告人简介：刘伟，武汉大学教授，博士生导师，国家级称号人才。现任武汉大学数学与统计学院副院长，武汉大学统计学国家一流本科专业建设点负责人，武汉大学应用统计专业学位研究生教指委主任，兼任中国概率统计学会常务理事、副秘书长，中国工程概率统计学会常务理事，中国现场统计研究会教育统计与管理分会常务理事，中国统计教育学会高等教育分会理事，《应用概率统计》杂志编委。目前主要从事概率论与随机分析的研究，成果发表在CMP、JMPA、AOAP、IEEE T Cybernetics、SPA、AIHP、Science in China 等国内外一流学术期刊。
（撰稿：张倩影 审核：张国）
数学科学学院
2025年5月14日
