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arXiv · 1201.0927

Approximation of Oseledets Splittings

Chao Liang·Gang Liao·Wenxiang Sun
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Abstract

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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Chao Liang, Gang Liao, Wenxiang Sun. 2012-01-04. Approximation of Oseledets Splittings. https://arxiv.org/abs/1201.0927

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