Contributions to the Geometric and Ergodic Theory of Conservative Flows
| dc.creator | Bessa, Mario | |
| dc.creator | Rocha, Jorge | |
| dc.date | 2008-10-21 | |
| dc.date.accessioned | 2026-07-07T10:12:10Z | |
| dc.date.available | 2026-07-07T10:12:10Z | |
| dc.description | We prove the following dichotomy for vector fields in a C1-residual subset of volume-preserving flows: for Lebesgue almost every point all Lyapunov exponents equal to zero or its orbit has a dominated splitting. As a consequence if we have a vector field in this residual that cannot be C1-approximated by a vector field having elliptic periodic orbits, then, there exists a full measure set such that every orbit of this set admits a dominated splitting for the linear Poincare flow. Moreover, we prove that a volume-preserving and C1-stably ergodic flow can be C1-approximated by another volume-preserving flow which is non-uniformly hyperbolic. | |
| dc.description | 26 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0810.3855 | |
| dc.identifier | http://arxiv.org/abs/0810.3855 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172093 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D30, 37D25 (Primary); 37A99, 37C10 (Secondary) | |
| dc.title | Contributions to the Geometric and Ergodic Theory of Conservative Flows | |
| dc.type | text |