Anosov diffeomorphism with a horseshoe that attracts almost any point
arXiv:1802.03977
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.
19 pages, 3 figures. Rewrote the second page of Introduction, some minor changes (to improve readability)