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arXiv · 1512.08541

On Pesin's entropy formula for dominated splittings without mixed behavior

Dawei Yang·Yongluo Cao
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Abstract

For $C^1$ diffeomorphisms, we prove that the Pesin's entropy formula holds for some invariant measure supported on any topological attractor that admits a dominated splitting without mixed behavior. We also prove Shub's entropy conjecture for diffeomorphisms having such kind of splittings.

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Dawei Yang, Yongluo Cao. 2015-12-28. On Pesin's entropy formula for dominated splittings without mixed behavior. https://arxiv.org/abs/1512.08541

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