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arXiv · 1411.7424

Horseshoes for diffeormorphisms preserving hyperbolic measures

Katrin Gelfert
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Abstract

We give extensions of Katok's horseshoe constructions, comment on related results, and provide a self-contained proof. We consider either a $C^{1+\alpha}$ diffeomorphism preserving a hyperbolic measure or a $C^1$ diffeomorphism preserving a hyperbolic measure whose support admits a dominated splitting.

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Katrin Gelfert. 2014-11-26. Horseshoes for diffeormorphisms preserving hyperbolic measures. https://arxiv.org/abs/1411.7424

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