Stable ergodicity of dominated systems
Dynamical Systems
2008-12-16 v2
Abstract
We provide a new approach to stable ergodicity of systems with dominated splittings, based on a geometrical analysis of global stable and unstable manifolds of hyperbolic points. Our method suggests that the lack of uniform size of Pesin's local stable and unstable manifolds - a notorious problem in the theory of non-uniform hyperbolicity - is often less severe than it appeas to be.
Cite
@article{arxiv.0812.0277,
title = {Stable ergodicity of dominated systems},
author = {Martin Andersson},
journal= {arXiv preprint arXiv:0812.0277},
year = {2008}
}
Comments
22 pages