Title: Large deviation, nonequilibrium fluctuation theory, and stochastic stability

Speaker: Zhongwei Shen

Affiliation: University of Alberta

Time: 16:00-17:00, June 2nd, Tuesday

Venue: 5503, the 5th Teaching Building

Abstract: This talk is devoted to the connections among nonequilibrium thermodynamics, large deviation, and stochastic stability in the framework of randomly perturbed dynamical systems. More precisely, I will present some results on the large deviation principle for stationary distributions and quasi-stationary distributions (if time permits) and its application to nonequilibrium fluctuation theory and stochastic stability of invariant measures. A special attention will be paid to the regularity of solutions to Hamilton-Jacobi equations due to dynamical structures.