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The topological properties and the ergodic properties of generic star flows
时间  Datetime
2018-12-24 13:30 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
杨大伟
单位  Affiliation
苏州大学
邀请人  Host
王晓东
报告摘要  Abstract

We study the topological properties and the ergodic properties of generic star flows. In the topological part, we prove that generically, a star flow has only finitely many topological attractors, which are singular hyperbolic, whose basins cover a dense open set in the manifold. In the ergodic part, we prove that generically, a star flow has only finitely many physical measures, whose basins cover a full Lebesgue measure set. This is a joint work with S. Crovisier, X. Wang and J. Zhang.