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The Ruelle inequality of folding type and its application for interval or circle maps.
时间  Datetime
2018-07-06 14:00 — 15:30 
地点  Venue
Middle Lecture Room
报告人  Speaker
Wang Shirou(王式柔)
单位  Affiliation
University of Alberta, Canada
邀请人  Host
王晓东
报告摘要  Abstract

In dynamical systems, the classical Ruelle inequality tells us that the metric entropy is dominated by the sum of positive Lyapunov exponents. In this talk, I will talk about a folding type Ruelle inequality, which looks at the system from backward process. Then as an application of this inequality, I will introduce the notion of folding rate and discuss upper semi-continuity of metric entropy for C^r(r>1) interval (or circle) maps. This is a joint work with Gang Liao.