Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
33 pages, no figures, third version, to appear in Astérisque

Keywords

Dynamical Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/61540

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0105221
 http://arxiv.org/abs/math/0105221

Collections

arXiv