Title: Stochastic recurrent motions and stochastic stability
报告人：柳振鑫
报告时间：2020/12/10 10：15-11：30
报告形式：腾讯会议
会议 ID：453 487 476
会议密码：123456
Abstract: Due to the existence of uncertain factors or people's limited knowledge of our world, many systems need to consider the influence of random factors. So we need to consider the dynamical behavior of a system evolving over time under the action of random factors, which leads to the generation of random dynamic systems.In this talk, we will introduce some histories and processes in random dynamical systems. We will focus on the topics of recurrent motions for stochastic differential equations and stability of invariant sets or invariant measures under stochastic perturbations; the former topic is closely related to the limit distribution of inhomogeneous Markov processes and the latter one is closely related to Kolmogorov's problem on the limit behavior of stationary distributions of diffusion processes.
报告人简介：柳振鑫，大连理工大学数学科学学院教授。主要从事随机动力系统的研究，在随机Conley指标理论、随机动力系统中的回复性和稳定性、Kolmogorov平稳分布极限问题等方面做出系统深入的研究工作。目前已发表学术论文30余篇。2010年获全国百篇优秀博士学位论文提名奖.