Livsic theorems for Banach cocycles: existence and regularity
数学专题报告
报告题目(Title)：Livsic theorems for Banach cocycles: existence and regularity
报告人(Speaker)：邹瑞（南京信息工程大学）
地点(Place)：#腾讯会议：709-853-528 会议密码：123456
时间(Time)：2023年11月20日（周一）14:00-15:00
邀请人(Inviter)：苏喜锋
报告摘要
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.
