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