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Limit theorems for coupled interval maps

Jean-Baptiste Bardet·Sebastien Gouezel·Gerhard Keller
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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.

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Jean-Baptiste Bardet, Sebastien Gouezel, Gerhard Keller. 2006-09-22. Limit theorems for coupled interval maps. https://arxiv.org/abs/math/0609639

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