# A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point

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Abstract : We present an example of a $C^1$ Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.
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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01556479
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mercredi 5 juillet 2017 - 11:06:34
Dernière modification le : vendredi 8 novembre 2019 - 15:48:02

### Citation

Christian Bonatti, S. S. Minkov, A. V. Okunev, I. S. Shilin. A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point. Functional Analysis and Its Applications, Springer Verlag, 2017, 51 (2), pp.144 - 147. ⟨10.1007/s10688-017-0176-1⟩. ⟨hal-01556479⟩

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