Expansivity and uniqueness of equilibrium states for multi-singular hyperbolic flows
报告人： Fan Yang (Michigan State University)
时间：2023-06-27 15:10-17:00
地点：Room 1303, Science Building No. 1
Abstract: Multi-singular hyperbolicity was introduced by Bonatti and da Luz to capture the hyperbolicity of singular star flows. They prove that open and densely, singular star flows are multi-singular hyperbolic. In this talk, we will consider the statistical properties of multi-singular hyperbolic sets, and singular star flows in general. We will prove that typical such systems are robustly almost expansive; furthermore, equilibrium states exist and are unique for most H\"older continuous potential functions. As a corollary, we show that C^1 generically, star flows have finitely many measures of maximal entropy.
