A spectral approach for quenched limit theorems for random hyperbolic dynamical systems - Équipe Systèmes dynamiques : théories et applications Accéder directement au contenu
Article Dans Une Revue Transactions of the American Mathematical Society Année : 2020

A spectral approach for quenched limit theorems for random hyperbolic dynamical systems

Résumé

We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding dynamics under general random driving [9] to quenched random piecewise hyperbolic dynamics including some classes of billiards. For general ergodic sequences of maps in a neighbourhood of a hyperbolic map we prove a quenched large deviations principle (LDP), central limit theorem (CLT), and local central limit theorem (LCLT).
Fichier principal
Vignette du fichier
1812.07340.pdf (466.27 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01959792 , version 1 (23-01-2020)

Identifiants

Citer

Davor Dragičević, Gary Froyland, Cecilia González-Tokman, Sandro Vaienti. A spectral approach for quenched limit theorems for random hyperbolic dynamical systems. Transactions of the American Mathematical Society, 2020, 373 (1), pp.629-664. ⟨10.1090/tran/7943⟩. ⟨hal-01959792⟩
55 Consultations
44 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More