DMS Analysis and Stochastic Analysis Seminar (SASA)

Speaker: Zhongwei Shen (University of Alberta, Canada)

Title: Stochastic stability of invariant measures

Abstract: Dynamical systems are inevitably subject to noise perturbations, making the study of the stability of dynamical systems under noise perturbations a fundamental problem. Often used to characterize the complexity of dynamical behaviours, invariant measures, especially the physical ones, are believed to be stochastically stable. This is well-known for hyperbolic systems but remains widely open for more general systems. The main purpose of this talk is to present our recent results on this issue. A special attention is paid to the sub-exponential large deviation principle of invariant measures that is of independent interest and has many applications.

Host: Wenxian Shen