Stable sets, hyperbolicity and dimension
| dc.creator | Shafikov, Rasul | |
| dc.creator | Wolf, Christian | |
| dc.date | 2003-06-19 | |
| dc.date.accessioned | 2026-07-07T04:59:03Z | |
| dc.date.available | 2026-07-07T04:59:03Z | |
| dc.description | In this note we derive an upper bound for the Hausdorff dimension of the stable set of a hyperbolic set $Λ$ of a $C^2$ diffeomorphisms on a $n$-dimensional manifold. As a consequence we obtain that $\dim_H W^s(Λ)=n$ is equivalent to the existence of a SRB-measure. We also discuss related results in the case of expanding maps. | |
| dc.identifier | https://arxiv.org/abs/math/0306282 | |
| dc.identifier | http://arxiv.org/abs/math/0306282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67829 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37C45; 37DXX | |
| dc.title | Stable sets, hyperbolicity and dimension | |
| dc.type | text |