Stochastic stability of invariant measures

主講人：亓維維 阿爾伯塔大學(xué)副研究員

時間：2024年5月31日9：00

地點：三號樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：亓維維，2019年6月博士畢業(yè)于中科院數(shù)學(xué)與系統(tǒng)科學(xué)研究院，師從吉敏研究員。2019年11月至2023年8月在加拿大Alberta大學(xué)從事博士后研究；自2023年9月，在Alberta大學(xué)任副研究員。主要從事隨機動力系統(tǒng)與偏微分方程理論及其應(yīng)用的研究。

內(nèi)容介紹：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.