LIMIT THEOREMS FOR COUPLED INTERVAL MAPS-Reference-Cited by-同舟云学术

LIMIT THEOREMS FOR COUPLED INTERVAL MAPS

Published:2007-03 Issue:01 Volume:07 Page:17-36
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

BARDET JEAN-BAPTISTE¹,GOUËZEL SÉBASTIEN¹,KELLER GERHARD²

Affiliation:

1. IRMAR/UFR Mathématiques, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France

2. Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, 91054 Erlangen, Germany

Abstract

We prove a local limit theorem for Lipschitz continuous observables on a weakly coupled lattice of piecewise expanding mixing 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 [9] where the ordinary transfer operator was studied.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493707001913

Reference11 articles.

1. Limit theorems for coupled analytic maps

2. Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness

3. Equilibrium Measures for Coupled Map Lattices:¶Existence, Uniqueness and Finite-Dimensional Approximations

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