报告时间：2022年4月15日15:00-16:00

报告人：吴伟胜教授 (厦门大学）

腾讯会议ID：133-874-454

报告摘要：Kolmogorov-Bernoulli equivalence is a classical problem in ergodic theory. We consider topologically transitive partially hyperbolic diffeomorphisms with Lyapunov stable center direction. There exists a unique equilibrium state for any potential function satisfying Bowen property, by Climenhaga-Pesin-Zelerowicz. In this talk, we show that when the system is topologically mixing, the unique equilibrium state has the Kolmogorv property. Then we lift the Kolmogorv property to the Bernoulli property using Ornstein-Weiss theory.

邀请人：陈剑宇