Approximation of Oseledets Splittings
Dynamical Systems
2012-01-05 v1
Abstract
We prove that the Oseledets splittings of an ergodic hyperbolic measure of a diffeomorphism can be approximated by that of atomic measures on hyperbolic periodic orbits. This removes the assumption on simple spectrum in \cite{Liang} and strengthens Katok's closing lemma.
Cite
@article{arxiv.1201.0927,
title = {Approximation of Oseledets Splittings},
author = {Chao Liang and Gang Liao and Wenxiang Sun},
journal= {arXiv preprint arXiv:1201.0927},
year = {2012}
}
Comments
10 pages