Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative
| dc.creator | Avila, Artur | |
| dc.creator | Moreira, Carlos Gustavo | |
| dc.date | 2001-05-27 | |
| dc.date | 2003-06-10 | |
| dc.date.accessioned | 2026-07-07T04:41:52Z | |
| dc.date.available | 2026-07-07T04:41:52Z | |
| dc.description | We prove that there is a residual set of families of smooth or analytic unimodal maps with quadratic critical point and negative Schwarzian derivative such that almost every non-regular parameter is Collet-Eckmann with subexponential recurrence of the critical orbit. Those conditions lead to a detailed and robust statistical description of the dynamics. This proves the Palis conjecture in this setting. | |
| dc.description | 33 pages, no figures, third version, to appear in Astérisque | |
| dc.identifier | https://arxiv.org/abs/math/0105221 | |
| dc.identifier | http://arxiv.org/abs/math/0105221 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61540 | |
| dc.subject | Dynamical Systems | |
| dc.title | Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative | |
| dc.type | text |