Approximation of Oseledets Splittings

Details Approximation of Oseledets Splittings Approximation of Oseledets Splittings

2012-01-04

arxiv.org/abs/1201.0927v1

Mathematics

Dynamical Systems

10 pages

Scientific paper

We prove that the Oseledets splittings of an ergodic hyperbolic measure of a
$C^{1+ r}$ 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.

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