Anosov diffeomorphism with a horseshoe that attracts almost any point

2018/02/12 by Christian Bonatti, Bonatti, C., Stanislav Minkov +5
Mathematics · Physics and Astronomy · #37D20 #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1802.03977

openalex publication_date 2018/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an example of a C1 Anosov diffeomorphism of a two-torus 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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