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

Published 28 Dec 2015 in math.DS | (1512.08541v1)

Abstract: For $C1$ 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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Authors (2)

  1. Dawei Yang 
  2. Yongluo Cao 

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