Anosov diffeomorphism with a horseshoe that attracts almost any point
Dynamical Systems
2018-10-25 v2
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.
Cite
@article{arxiv.1802.03977,
title = {Anosov diffeomorphism with a horseshoe that attracts almost any point},
author = {C. Bonatti and S. Minkov and A. Okunev and I. Shilin},
journal= {arXiv preprint arXiv:1802.03977},
year = {2018}
}
Comments
19 pages, 3 figures. Rewrote the second page of Introduction, some minor changes (to improve readability)