On the stable ergodicity of diffeomorphisms with dominated splitting
Dynamical Systems
2019-05-22 v1
Abstract
In this paper we obtain two criteria of stable ergodicity outside the partially hyperbolic scenario. In both criteria, we use a weak form of hyperbolicity called chain-hyperbolicity. It is obtained one criterion for diffeomorphisms with dominated splitting and one criterion for weakly partially hyperbolic diffeomorphisms. As an application of one of these criteria, we obtain the -density of stable ergodicity inside a certain class of weakly partially hyperbolic diffeomorphisms.
Cite
@article{arxiv.1806.03089,
title = {On the stable ergodicity of diffeomorphisms with dominated splitting},
author = {Davi Obata},
journal= {arXiv preprint arXiv:1806.03089},
year = {2019}
}