Dynamic Systems Seminar—— The topological properties and the ergodic properties of generic star flows
报告人:Prof. Dawei Yang (Soochow University)
时间:2018-12-17 15:10-17:00
地点:Room 525, No. 2 Teaching Building
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.