Existence and finiteness of physical measures for star flows
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：张金华（北京航空航天大学）
：2022-04-08 15:00
：腾讯会议ID：708780715（无密码）
报告人：张金华（北京航空航天大学）
时 间：4月8日下午15:00
地 点：腾讯会议ID：708780715（无密码）
内容摘要:
In the long march to Smale’s stability conjecture, a class of systems called star systems has been studied by S. Liao and R. Mañé. Star diffeomorphisms or non-singular star flows are uniformly hyperbolic. Sinai, Ruelle and Bowen showed that Cr (r>1) hyperbolic systems admit finitely many physical measures whose basins form a Lebesgue full measure set.
Singular star flows may not be hyperbolic, but are interesting because famous Lorenz attractors and other chaotic phenomena are contained in this class. In this talk, we will show that “most” star flows admit finitely many physical measures whose basins form a Lebesgue full measure set. This is a joint work with S. Crovisier, X. Wang and D. Yang.
个人简介：
张金华，北京航空航天大学数学科学学院副教授。2017年博士毕业于北京大学数学科学学院和法国勃艮第大学数学所，师从文兰院士和Christian Bonatti (CNRS研究员)。研究领域为微分动力系统。研究成果分别发表在Trans. Amer. Math. Soc., Comm. Math. Phys., Comment. Math. Helv., Ergodic Theory Dynam. Systems等国际学术期刊上, 目前主持国家自然科学基金青年科学基金项目一项。
联系人：朱玉峻
