UAlberta Math and Statistics Colloquium: Zhongwei Shen

Dynamical systems are inevitably subject to noise perturbations, making the study of the stability issues 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 progress on this issue. This talk is based on joint works with Weiwei Qi and Yingfei Yi.