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Article

Anosov diffeomorphism with a horseshoe that attracts almost any point

Discrete and Continuous Dynamical Systems. 2020. Vol. 40. No. 1. P. 441-465.
Bonatti C., Minkov S., Alexey Okunev, Ivan Shilin.

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.