Limit theorems for coupled interval maps

Bardet JB, Gouëzel S, Keller G (2007)

Publication Type: Journal article, Original article

Publication year: 2007

Journal

Stochastics and Dynamics World Scientific Publishing

Publisher: World Scientific Publishing

Pages Range: 17-36

Journal Issue: 7

DOI: 10.1142/S0219493707001913

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. © 2007 World Scientific Publishing Company.

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

Involved external institutions

Université de Nantes FR France (FR) University of Rouen / Université de Rouen FR France (FR)

How to cite

APA:

Bardet, J.-B., Gouëzel, S., & Keller, G. (2007). Limit theorems for coupled interval maps. Stochastics and Dynamics, 7, 17-36. https://dx.doi.org/10.1142/S0219493707001913

MLA:

Bardet, Jean-Baptiste, Sébastien Gouëzel, and Gerhard Keller. "Limit theorems for coupled interval maps." Stochastics and Dynamics 7 (2007): 17-36.

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