报告时间：2021年3月27日，9:45-10:25

报告地点：纯水楼301

报告人：王晓东  (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 $\Lambda$. We show that $C^1$-generically, periodic measures are dense and hence the ergodic measure space of $\Lambda$ is path-connected, while $C^1$-densely, the ergodic measure space of $\Lambda$ is not connected when the singular hyperbolic splitting is co-index 2. Similar property holds for $C^r$ 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.

邀请人：陈剑宇