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On Pesin's entropy formula for dominated splittings without mixed behavior (1512.08541v1)
Published 28 Dec 2015 in math.DS
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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