报告人：刘学（中国科学技术大学）

邀请人：周小敏

报告时间：2023年4月23日（星期日）11:00-12:00

报告地点：欣苑2栋115会议室

报告题目：Multifractal analysis for a class of skew product transformation    

报告摘要：In this talk, we give a multifractal analysis on the Birkhoff average for a class of skew product transformations, which is driven by a uniquely ergodic homeomorphism and satisfies Anosov and topological mixing on fibers property. The conclusion is twofold: a variational principle between the fiber Bowen’s topological entropy on conditional level sets of Birkhoff average and fiber measure-theoretical entropy; If the irregular set is nonempty on some fibers, then on almost every fiber with respect to the unique ergodic measure, it is nonempty and carries full fiber Bowen’s topological entropy. Examples of systems under consideration are provided.

报告人简介：刘学，中国科学技术大学博士后研究员，研究领域为动力系统遍历理论。目前主持博士后面上项目。