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12-17【赵怀忠】管楼1418 吴文俊数学重点实验室Dynamical Systems Seminar

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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