报告人：刘伟教授

报告时间：5月28日（周 日）上午8:30—9:30

报告地点：统计与数据科学学院213

报告题目：Long time behaviors on mean field interacting particle systems and

McKean-Vlasov equations

报告摘要：In this talk, we will present our recent studies about the long time behaviors on mean-field interacting particle systems and the McKean-Vlasov equation, by using two different methods: coupling method and functional inequalities. This talk is based on the joint works with Arnaud Guillin, Liming Wu and Chaoen 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。目前主要从事随机分析和随机算法方面的研究，主持国家自科面上项目和湖北省面上项目，参与承担多项国家自科重点项目和面上项目，在CMP、JMPA、AOAP、SPA、AIHP、Science in China 等国内外一流学术期刊发表学术论文，担任《应用概率统计》杂志编委和多家国内外期刊审稿人。

报告人：宋玉林教授

报告时间：5月28日（周 日）上午9:30—10:30

报告地点：统计与数据科学学院213

报告题目：Regularity for distribution-dependent SDEs

报告摘要：In this talk, we will introduce some results about the regularities for DDSDEs with or without jumps: Bismut formula, smoothness of density function and sensitivity analysis. The main technical tool is Malliavin calculus for Wiener-Poisson functionals.

报告人简介：宋玉林 南京大学数学系副教授，2012年博士毕业于中国科学院数学与系统科学研究院，研究方向为随机微分方程。目前已在EJP, AIHP，Potential Anal., DCDS等杂志发表论文十余篇，先后主持国家自然科学基金两项，江苏省自然科学基金一项，参与国家自然科学基金重大项目一项。

报告人：黄兴教授

报告时间：5月28日（周 日）上午10:30—11:30

报告地点：统计与数据科学学院213

报告题目：Regularities and Exponential Ergodicity in Entropy for SDEs Driven by Distribution Dependent Noise

报告摘要：As two crucial tools characterizing regularity properties of stochastic systems, the log-Harnack inequality and Bismut formula have been intensively studied for distribution dependent (McKean-Vlasov) SDEs. However, due to technical difficulties, existing results mainly focus on the case with distribution free noise.

In this paper, we introduce a noise decomposition argument to establish the log-Harnack inequality and Bismut formula for SDEs with distribution dependent noise, in both non-degenerate and degenerate situations. As application, the exponential ergodicity in entropy is investigated.

报告人简介：黄兴，2017年博士毕业北京师范大学概率论与数理统计专业，师从王凤雨教授，现为天津大学应用数学中心副教授。研究方向：随机分析。最近关注分布依赖的随机微分方程的解的适定性，混沌传播现象和分布性质如正则性估计和Harnack不等式等。