Quenched limit theorems for expanding on average cocycles - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2021

Quenched limit theorems for expanding on average cocycles

Résumé

We prove quenched versions of a central limit theorem, a large deviations principle as well as a local central limit theorem for expanding on average cocycles. This is achieved by building an appropriate modification of the spectral method for nonautonomous dynamics developed by Dragi\v{c}evi\'c et al., to deal with the case of random dynamics that exhibits nonuniform decay of correlations, which are ubiquitous in the context of the multiplicative ergodic theory. Our results provide an affirmative answer to a question posed by Buzzi.

Dates et versions

hal-03219353 , version 1 (06-05-2021)

Identifiants

Citer

Davor Dragičević, Julien Sedro. Quenched limit theorems for expanding on average cocycles. 2021. ⟨hal-03219353⟩
16 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More