Statistical properties  of one-dimensional maps  under weak hyperbolicity assumptions

Rivera-Letelier, Juan; Shen, Weixiao

doi:10.24033/asens.2233

Statistical properties of one-dimensional maps under weak hyperbolicity assumptions
[Propriétés statistiques des applications unidimensionnelles sous des hypothèses d'hyperbolicité faibles]

Rivera-Letelier, Juan ; Shen, Weixiao

Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 47 (2014) no. 6, pp. 1027-1083.

Résumé
Abstract

Nous étudions l'existence et des propriétés statistiques des mesures physiques d'une application unidimensionnelle réelle ou complexe satisfaisant une hypothèse d'hyperbolicité faible, par rapport à une mesure de référence géométrique. Nous étudions aussi des propriétés géométriques de ces mesures.

For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geometric reference measures. We also study geometric properties of these measures.

Publié le : 2014-11-18

MR Zbl

DOI : 10.24033/asens.2233

Classification : 37E05, 37C40, 37F35.
Keywords: Physical measures, mixing rates.
Mot clés : Mesures physiques, vitesse de mélange.

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     title = {Statistical properties  of one-dimensional maps  under weak hyperbolicity assumptions},
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     pages = {1027--1083},
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Rivera-Letelier, Juan; Shen, Weixiao. Statistical properties  of one-dimensional maps  under weak hyperbolicity assumptions. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 47 (2014) no. 6, pp. 1027-1083. doi : 10.24033/asens.2233. http://www.numdam.org/articles/10.24033/asens.2233/

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