A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point - Université de Bourgogne
Article Dans Une Revue Functional Analysis and Its Applications Année : 2017

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

Résumé

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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Mathématiques [math]

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https://u-bourgogne.hal.science/hal-01556479

Soumis le : mercredi 5 juillet 2017-11:06:34

Dernière modification le : lundi 16 septembre 2024-15:14:03

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Dates et versions

hal-01556479 , version 1 (05-07-2017)

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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, 2017, 51 (2), pp.144 - 147. ⟨10.1007/s10688-017-0176-1⟩. ⟨hal-01556479⟩

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