Long-time behaviour of trajectories for dynamical systems with stationary random forces: non-Markov case （II）
报告人：Sergei Kuksin (巴黎西岱大学)
时间：2025-06-12 13:30-15:30
地点：智华楼四元厅
Abstract: I will discuss long-time behaviour in dynamical systems with random forces in finite and infinite-dimensional phase spaces and present recent results of A.Shirikyan and myself on existence for such systems of statistical equilibria with attract distributions of all solutions as time goes to infinity. The novelty of our work is that we do not assume that the values of the random forces in different instants of time are independent. Accordingly, the random dynamics, defined by the systems we consider, is not Markovian. In my talk I will present some ideas of our proof, which I regard as crucial.
报告人介绍：Sergei Kuksin 教授 现任俄罗斯斯捷克洛夫数学研究所首席科学家、俄罗斯人民友谊大学数学实验室主任、法国巴黎西岱大学与索邦大学高级研究员。他的研究涵盖偏微分方程中的KAM理论、随机扰动偏微分方程、湍流与统计流体力学，以及紧致流形间函数的椭圆型偏微分方程。1992年他作为全会报告人出席巴黎欧洲数学家大会（ECM），1998年获邀在柏林国际数学家大会（ICM）作特邀报告，并荣获俄罗斯科学院颁发的李雅普诺夫奖。
