10-23【邹 瑞】五教5207 吴文俊数学重点实验室Dynamical Systems Seminar

发布者:万宏艳发布时间:2021-10-20浏览次数:334

报告题目:Livsic theorems for Banach cocycles:existence and regularity


报告人:邹 瑞,南京信息工程大学


时间:2021年10月23日(周六)下午 16:00


地点:东区第五教学楼5207教室


摘要: We prove a nonuniformly hyperbolic version Livsic theorem, with cocycles taking values in  the group of invertible bounded linear operators on a Banach space. The result holds without the ergodicity assumption of the hyperbolic measure.  Moreover, We also prove a \mu-continuous solution of the cohomological equation is actually Holder continuous for the uniform hyperbolic system.



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