Approximation of Oseledets Splittings
arXiv:1201.0927
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.
10 pages