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Stochastic stability of invariant measures

Event Category:
Applied Mathematics and Computation Seminar
Weiwei Qi
University of Alberta

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 for both conservative systems and dissipative systems. It is worthwhile to mention that our work considers stochastic stability in the framework of multiscale dynamics.

Tuesday, February 27, 2024 - 4:00pm
LGRT 1681