Limit theorems for coupled interval maps
Dynamical Systems
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0609639,
title = {Limit theorems for coupled interval maps},
author = {Jean-Baptiste Bardet and Sebastien Gouezel and Gerhard Keller},
journal= {arXiv preprint arXiv:math/0609639},
year = {2007}
}
Comments
17 pages