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Paper detail

Continuity of entropy map for nonuniformly hyperbolic systems

We prove that entropy map is upper semi-continuous for C1 nonuniformly hyperbolic systems with domination, while it is not true for C1+alpha nonuniformly hyperbolic systems in general. This goes a little against a common intuition that conclusions are parallel between C1+domination systems and C1+alpha systems.

preprint2014arXivOpen access
Gang LiaoWenxiang SunShirou Wang
math.DS
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Gang LiaoWenxiang SunShirou Wang

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