C^k-Robust transitivity for surfaces with boundary
| dc.creator | Arroyo, Aubin | |
| dc.creator | Pujals, Enrique R. | |
| dc.date | 2009-04-16 | |
| dc.date.accessioned | 2026-07-07T13:05:06Z | |
| dc.date.available | 2026-07-07T13:05:06Z | |
| dc.description | We prove that C^1-robustly transitive diffeomorphisms on surfaces with boundary do not exist, and we exhibit a class of diffeomorphisms of surfaces with boundary which are C^k-robustly transitive, with k greater or equal than 2. This class of diffeomorphisms are examples where a version of Palis' conjecture on surfaces with boundary, about homoclinic tangencies and uniform hyperbolicity, does not hold in the C^2-topology. This follows showing that blow-up of pseudo-Anosov diffeomorphisms on surfaces without boundary, become C^2-robustly topologically mixing diffeomorphisms on a surfaces with boundary. | |
| dc.description | 16 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0904.2561 | |
| dc.identifier | http://arxiv.org/abs/0904.2561 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227389 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37E30; 37G25; 37D50 | |
| dc.title | C^k-Robust transitivity for surfaces with boundary | |
| dc.type | text |