报告摘要： In this talk, we study the space of ergodic measures of geometric Lorenz attractors. We show that $C^r$-generically ($r\geq 2$), periodic measures are dense and hence the ergodic measure space is path-connected, while $C^r$-densely, the singular measure is isolated in the ergodic measure space. Similar property holds for $C^1$ singular hyperbolic attractors. We also explore the intermediate entropy property and finiteness of physical measures for star vector fields, in particular for singular hyperbolic attractors.

报告人：上海交通大学  王晓东

时间：11月6日 15:30

地点：纯水楼301


 

邀请人：杨大伟