arXiv Analytics

Sign in

arXiv:1802.03977 [math.DS]AbstractReferencesReviewsResources

Anosov diffeomorphism with a horseshoe that attracts almost any point

C. Bonatti, S. Minkov, A. Okunev, I. Shilin

Published 2018-02-12Version 1

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.

Comments: 19 pages, 3 figures
Categories: math.DS
Subjects: 37D20
Related articles: Most relevant | Search more
arXiv:0804.3616 [math.DS] (Published 2008-04-22, updated 2013-08-16)
On sensitive dependence on initial conditions and existence of physical measure for 3-flows
arXiv:0910.2694 [math.DS] (Published 2009-10-14, updated 2011-04-11)
Shrinking targets for IETs: Extending a theorem of Kurzweil
arXiv:math/0306155 [math.DS] (Published 2003-06-10)
Statistical properties of unimodal maps: physical measures, periodic orbits and pathological laminations

Links

Toolbox