Limit theorems for coupled interval maps

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding interval maps. The core of the paper is a proof that the spectral radii of the Fourier-transfer operators for such a system are strictly less than 1. This extends the approach of [KL2] where the ordinary transfer operator was studied.
17 pages

Keywords

Dynamical Systems, 37L60,60F05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/116623

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609639
 http://arxiv.org/abs/math/0609639

Collections

arXiv