Geodesic
A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point
Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 83-86.

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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.
Keywords: Anosov diffeomorphism, $C^1$-topology, physical measure, thick horseshoe. 
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C. Bonatti; S. S. Minkov; A. V. Okunev; I. S. Shilin. A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point. Funkcionalʹnyj analiz i ego priloženiâ, Tome 51 (2017) no. 2, pp. 83-86. http://geodesic.mathdoc.fr/item/FAA_2017_51_2_a7/

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