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

C. Bonatti; S. S. Minkov; A. V. Okunev; I. S. Shilin

doi:10.1007/s10688-017-0176-1

A C¹ Anosov diffeomorphism with a horseshoe that attracts almost any point

Authors: Bonatti C.¹, Minkov S.S.², Okunev A.V.³, Shilin I.S.²
Affiliations:
1. Université de Bourgogne
2. Moscow Center of Continuous Mathematical Education
3. National Research University Higher School of Economics
Issue: Vol 51, No 2 (2017)
Pages: 144-147
Section: Brief Communications
URL: https://journal-vniispk.ru/0016-2663/article/view/234309
DOI: https://doi.org/10.1007/s10688-017-0176-1
ID: 234309

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Abstract

We present an example of a C¹ Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.