Physical measures at the boundary of hyperbolic maps
| dc.creator | Araujo, Vitor | |
| dc.creator | Tahzibi, Ali | |
| dc.date | 2004-09-21 | |
| dc.date | 2007-07-15 | |
| dc.date.accessioned | 2026-07-07T09:40:31Z | |
| dc.date.available | 2026-07-07T09:40:31Z | |
| dc.description | We consider diffeomorphisms of a compact manifold with a dominated splitting which is hyperbolic except for a "small" subset of points (Hausdorff dimension smaller than one, e.g. a denumerable subset) and prove the existence of physical measures and their stochastical stability. The physical measures are obtained as zero-noise limits which are shown to satisfy the Entropy Formula. | |
| dc.description | 29 pages, 2 figures, 44 references. Minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0409391 | |
| dc.identifier | http://arxiv.org/abs/math/0409391 | |
| dc.identifier | Discrete Contin. Dyn. Syst. 20 (2008), no. 4, 849--876. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161510 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D25; 37D30; 37D20 | |
| dc.title | Physical measures at the boundary of hyperbolic maps | |
| dc.type | text |