ANOSOV DIFFEOMORPHISM WITH A HORSESHOE THAT ATTRACTS ALMOST ANY POINT
| Affiliation auteurs | Affiliation ok |
| Titre | ANOSOV DIFFEOMORPHISM WITH A HORSESHOE THAT ATTRACTS ALMOST ANY POINT |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Bonatti C, Minkov S, Okunev A, Shilin I |
| Journal | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
| Volume | 40 |
| Pagination | 441-465 |
| Date Published | JAN |
| Type of Article | Article |
| ISSN | 1078-0947 |
| Mots-clés | Anosov diffeomorphisms, C(1)dynamics, Milnor attractor, physical measure, thick Cantor sets |
| Résumé | We present an example of a C-1 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. |
| DOI | 10.3934/dcds.2020017 |