报告人： 张金华（巴黎南大学）

时间：2018年7月1日 10：30-12：00

地点：维格堂319

摘要 Approximation of non-hyperbolic ergodic measures for robustly transitive diffeomorphisms

Abstract: We will first discuss the existence of non-hyperbolic ergodic measures.

We will discuss the properties of our setting. We will focus on partially hyperbolic diffeomorphisms with 1-dimensional center and we assume that both strong foliations are robustly minimal. I will explain the fact that the minimality of strong foliations are quite natural in robustly transitive partially hyperbolic setting.

We will show that in our setting, open and densely, each non-hyperbolic ergodic measure is approached by hyperbolic sets in weak*-topology and in entropy. This is a joint work with D. Yang.