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）
报告时间：2020/7/15 09:00-10:00
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.
报告方式：腾讯会议
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会议 ID：419 785 367
会议密码：123456
报告题目： Upper bound on the Hausdorff dimension of an expanding measure for a map with singular or critical points
报告人：王娟（上海工程与技术大学）
报告时间：2020/7/15 10:00-11:00
报告摘要：Let m be an ergodic expanding probability measure preserving a C^{1+alpha} map f with singular or critical points. We use the singular values of the derivative Df^n(x) to construct function phi^t(f^n, \cdot). We show that the unique solution of the sub-additive measure-theoretic pressure equation P_mu(f, {-phi^t(f^n, \cdot)})=0 is an upper bound for the Hausdorff dimension of the measure m.
报告方式：腾讯会议
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会议 ID：419 785 367
会议密码：123456