Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	张金华，北京航空航天大学
Inviter:	何伟鲲
Title:	Ergodic properties of star flows
Language:	Chinese&English
Time & Venue:	2023.06.01 10:00-11:00 南楼N913
Abstract:	In this talk, we will first recall the fundamental properties of star flows (or star vector fields). Then we study the Sinai-Ruelle-Bowen measures for star vector fields and show that: in a C^1 open and C^1 dense subset of star vector fields, each smooth one admit finitely many physical measures whose basins cover a full Lebesgue measure subset of the manifold. Similar results are also obtained for C^1 generic star vector fields. This is a joint work with S.Crovisier, X.Wang and D.Yang.