报告题目：The space of ergodic measures of singular hyperbolic attractors

时间：2021年5月28日（星期五）下午16:00-17:00

地点：沙河校区🙅🏽‍♂️，主教306

报告人：王晓东副教授，上海交通大学

报告摘要😝：In this talk, we study the space of ergodic measures of a singular hyperbolic attractor Λ. We show that C^1-generically, periodic measures are dense and hence the ergodic measure space of Λ is path-connected, while C^1-densely, the ergodic measure space of Λ is not connected when the singular hyperbolic splitting is co-index 2. Similar property holds for C^r (r≥2) Lorenz attractors in the C^r-topology. This is a joint work with Yi Shi and Xueting Tian. We also explore the intermediate entropy property for star vector fields, in particular for singular hyperbolic attractors.

报告人简介👮‍♂️：王晓东👨🏽‍💻💇🏼‍♀️，上海交通大学副教授。