Decay of correlations for nonuniformly expanding systems

Sébastien Gouëzel

Type: Article

Publication Date: 2006-01-01

Citations: 87

DOI: https://doi.org/10.24033/bsmf.2500

Abstract

On montre comment estimer la vitesse de mélange d'un système dynamique non uniformément dilatant, à partir d'estimées sur le temps dont le système a besoin pour être vraiment dilatant. Cette méthode permet d'obtenir des vitesses rapides, par exemple exponentielles gauches ou exponentielles. Comme application, on obtient en particulier le fait que les corrélations des applications d'Alves-Viana décroissent en O(e -cn ).

Locations

arXiv (Cornell University) - View
Bulletin de la Société mathématique de France - View - PDF

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