报告题目：Long-time behavior of mean-field interacting particle systems related to McKean-Vlasov equation
报告人：刘伟教授
报告时间：2023年11月15日（星期三）下午3:00-4:00
报告地址：藕舫楼725
主持人：吕广迎教授
报告摘要： In this talk, we will show concentration inequalities, exponential convergence in the Wasserstein metric $W_{1}$, 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 $\nabla^2_{xy}W$ which are not too big, so that there is no phase transition. Several examples are provided to illustrate the results. This is a joint work with L. Wu and C. Zhang.
报告人简介：刘伟，武汉大学数学与统计学院教授、博士生导师，中国概率统计学会常务理事、副秘书长，中国现场统计研究会教育统计与管理分会常务理事，《应用概率统计》杂志编委。2009年博士毕业于武汉大学，主要从事随机分析与随机算法的研究，在Comm.Math.Phys.、J.Math.Pures Appl.、Ann.Appl.Probab.、Stochastic Process. Appl.、Ann.Inst. Henri Poincare Probab.Stat.、Sci.China Math.等国内外一流学术期刊发表论文30多篇。
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南京信息工程大学数学与统计学院
2023年11月14日
