Statistical properties  of one-dimensional maps  under weak hyperbolicity assumptions

Rivera-Letelier, Juan; Shen, Weixiao

doi:10.24033/asens.2233

Geodesic

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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.

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Abstract (VO)
Résumé

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.

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.

Publié le : 2014-05-27

MR Zbl

DOI : 10.24033/asens.2233

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

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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://geodesic.mathdoc.fr/articles/10.24033/asens.2233/

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