On Pesin's entropy formula for dominated splittings without mixed behavior
Dynamical Systems
2015-12-31 v1
Abstract
For 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.
Cite
@article{arxiv.1512.08541,
title = {On Pesin's entropy formula for dominated splittings without mixed behavior},
author = {Dawei Yang and Yongluo Cao},
journal= {arXiv preprint arXiv:1512.08541},
year = {2015}
}