- Zhongwei Shen
- University of Alberta, CA
- Date: Apr. 17, Wednesday, 2024
- Time: 10:00am -- 10:50am
- Host: Wenxian Shen
- Room: Zoom: 8141875411
- 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.