汇报标题 (Title)：Speeding up Langevin Dynamics by Mixing（通过混合战术加快朗之万动力学）
汇报人 (Speaker)： 冯媛媛 副教授 (华东师范大学)
汇报功夫 (Time)：2025年4月19日（周六）14:15
汇报地址 (Place)：校本部Gj303
约请人(Inviter)：秦晓雪
主办部门：理学院数学系
汇报提要：In this talk, we would study how stirring would help dissipate the energy and the applications, especially the application to the Langevin dynamics. We would first introduce the dissipation enhancing flows and study the dissipation time of such flows, where the dissipation time is explicitly computed based on the mixing rate. We then use mixing velocity field as a drift added to the Langevin dynamics (without changing the stationary distribution) and obtain quantitative estimates on the convergence rate of the system. We show that an exponentially mixing drift can be rescaled to make the mixing time of the Langevin system arbitrarily small.
