Non-hyperbolic ergodic measures -清华大学数学科学系
Source: https://math.tsinghua.edu.cn/info/1066/2601.htm Parent: https://math.tsinghua.edu.cn/
讨论班
Non-hyperbolic ergodic measures
发布日期：2025/04/08
题目：Non-hyperbolic ergodic measures\
报告人：张金华（北京航空航天大学）
时间：4月10日（周四）下午3点20
地点：理科楼A111
摘要：Hyperbolic dynamics are considered as well understood from the ergodic viewpoint, however such systems are not typical. Shub, Mane, Bonatti, Diaz et al built many robustly transitive non-hyperbolic systems, and these systems exhibit some hyperbolicity called partial hyperbolicity. We would like to characterize these examples from ergodic viewpoint, and thus it is inevitable to discuss non-hyperbolic ergodic measures.
We will talk about the prevalence of non-hyperbolic ergodic measures and how such measures are embedded into the set of ergodic measures. This also allows us to discuss the Lyapunov spectrum. This talk is based on joint works with C.Bonatti, L.Diaz, K. Gelfert, M. Rams, D. Yang.
邀请人：薛金鑫
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