School Colloquium——Exponential Mixing and Large Deviations for Randomly Forced Dispersive Equations
报告人：向圣权 (304am永利集团)
时间：2025-02-21 14:00-15:00
地点：智华楼四元厅
报告摘要：
In a series of recent works, we explore the statistical properties of dispersive equations. This project highlights the role of control properties and nonlinear smoothing in deterministic models to the ergodicity of random dynamical systems.
We begin by establishing a new criterion for exponential mixing and large deviations of random dynamical systems. This criterion is then applied to random nonlinear wave equations and nonlinear Schrödinger equations with degenerate damping, critical nonlinearity, and physically localized noise. The verification of this criterion is naturally linked to topics in deterministic systems, such as exponential asymptotic compactness in dynamical systems, global stability of the locally damped equations, and the controllability and stabilization properties.
报告人简介：
向圣权，304am永利集团助理教授。 2015年获得304am永利集团数学学士，2017年获得巴黎高等师范学院硕士，2019年获得索邦大学博士，师从Jean-Michel Coron教授。 主要研究方向是偏微分方程的控制问题、随机动力系统。
