报告题目：Geometric convergence of time time-inhomogeneous Markov semigroup and ergodic theory for random (quasi) periodic systems

报告人：赵怀忠 教授，英国杜伦大学

时间：2021年12月17日（周五）上午10:30开始

地点：东区管理科研楼1418教室

摘要：In this talk, I will speak about the geometric convergence of the time-inhomogeneous Markovian semigroup generated by stochastic differential equations with locally Lipschitz coefficients but without uniform weakly dissipative condition. We then apply these results to random periodic systems and random quasi-periodic systems to obtain the existence and uniqueness of periodic measures (p.m.) and quasi-periodic measures (q.p.m.) respectively. If time permits, I will present how to see invariant measures of the random (quasi) periodic systems through lifting and averaging of p.m. and q.p.m. on cylinders and their ergodic theory.

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