Stochastic stability of invariant measures

主讲人：亓维维 阿尔伯塔大学副研究员

时间：2024年5月31日9：00

地点：三号楼332室

举办单位：数理学院

主讲人介绍：亓维维，2019年6月博士毕业于中科院数学与系统科学研究院，师从吉敏研究员。2019年11月至2023年8月在加拿大Alberta大学从事博士后研究；自2023年9月，在Alberta大学任副研究员。主要从事随机动力系统与偏微分方程理论及其应用的研究。

内容介绍：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.