報告題目：Concentration inequalities and exponential convergence for mean-field weakly interacting particle system and McKean-Vlasov equation

報告人：劉偉教授（武漢大學）

報告時間：2025年5月16日9:30-10:30

報告地點：數學科學學院A413

內容簡介：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.

報告人簡介：劉偉，武漢大學教授，博士生導師，國家級稱號人才。現任武漢大學數學與統計學院副院長，武漢大學統計學國家一流本科專業建設點負責人，武漢大學應用統計專業學位研究生教指委主任，兼任中國概率統計學會常務理事、副秘書長，中國工程概率統計學會常務理事，中國現場統計研究會教育統計與管理分會常務理事，中國統計教育學會高等教育分會理事，《應用概率統計》雜志編委。目前主要從事概率論與隨機分析的研究，成果發表在CMP、JMPA、AOAP、IEEE T Cybernetics、SPA、AIHP、Science in China 等國內外一流學術期刊。

（撰稿：張倩影  審核：張國）

數學科學學院

2025年5月14日