Optimal bounds on correlation decay rates for nonuniform hyperbolic systems
Résumé
We investigate the decay rates of correlations for nonuniformly hy-perbolic systems with or without singularities, on piecewise Hölder ob-servables. By constructing a new scheme of coupling methods using the probability renewal theory, we obtain the optimal bounds for decay rates of correlations for a large class of observables. Our results apply to rather general hyperbolic systems, including Bunimovich Stadia, Bunimovich billiards , semidispersing billiards on a rectangle and billiards with cusps, and to a wide class of nonuniformly hyperbolic maps.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)
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