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On Pesin's entropy formula for dominated splittings without mixed behavior by Yang, Dawei; Cao, Yongluo is a scholarly article available to read on EtoBox.

What is On Pesin's entropy formula for dominated splittings without mixed behavior about?

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.

Author

Yang, Dawei; Cao, Yongluo

Published

2015

Language

EN