Zhongwei Shen
University of Alberta
Title
Stochastic stability: a large deviation approach
Abstract
Physical measures are fundamental dynamical objects that describe physically meaningful statistical properties of dynamical systems. Their stability under especially noise perturbations is therefore a central problem. This talk is devoted to the stochastic stability of physical measures in the framework of randomly perturbed dynamical systems. I will report some recent progress distinguishing between conservative and dissipative systems. A special attention will be paid to the large deviation approach and the underlying PDE theory.
