中科院数学与系统科学研究院
数学研究所
学术报告
动力系统研讨班
报告人：张金华（北京航空航天大学）
题 目：Ergodic properties of star flows
时 间：2023.06.01（星期四）10:00-11:00
地 点：数学院南楼N913
摘 要：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.
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