报告题目：Upper semi-continuity of  entropy map for  nonuniformly hyperbolic systems

报告人： 廖刚  Peking University

时间：12月10日（周四）下午3:00-4:00

地点：管研楼1418

报告摘要： We analyze the entropy map of  nonuniformly hyperbolic systems in two settings: C^{1+/alpha} and C^{1+domination}. It is known by a result of Newhouse that the entropy map is upper semi-continuous for C^{1 +/alpha} systems with the same hyperbolic rate. We remove the assumption on "hyperbolic rates" to show the upper semi-continuity for C^{1+domination} systems. Moreover, we show that the domination condition is neccesary in the analysis.

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