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Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

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.Résumé.Pour une application unidimensionelle réelle ou complexe satisfaisant une hypothèse d'hyperbolicité faible, on étudie l'existence et …