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arxiv: 1802.03977 · v2 · pith:M5EBB5TBnew · submitted 2018-02-12 · 🧮 math.DS

Anosov diffeomorphism with a horseshoe that attracts almost any point

classification 🧮 math.DS
keywords measureanosovdiffeomorphismhorseshoealmostattractsbasinexample
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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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