题目: Strong positive recurrence for surface dynamics and beyond

报告人: Jerome Buzzi（Universite de Paris-Sud，CNRS研究员）

时间: 2025年3月19日（周三）19:00

    2025年4月02日（周三）19:00

地点: 东区管理科研楼1308

摘要: Following the vision of Newhouse, we show that smooth surface dynamics in positive entropy exhibit many of the properties of uniform hyperbolicity. We present a new property, which we call Strong Positive Recurrence. It is satisfied by all $C^\infty$ surface diffeomorphisms with positive topological entropy and implies many properties for the measures maximizing the entropy such as: finiteness, exponential mixing, almost sure invariance principle, etc.