Transfer Operators for Coupled Analytic Maps

Torsten Fischer; Hans Henrik Rugh

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arXiv · chao-dyn/9711018

Transfer Operators for Coupled Analytic Maps

Torsten Fischer·Hans Henrik Rugh

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Abstract

We consider analytic coupled map lattices over $\Z^d$ with exponentially decaying interaction. We introduce Banach spaces for the infinite-dimensional system that include measures with analytic, exponentially bounded finite dimensional marginals. Using residue calculus and `cluster expansion'-like techniques we define transfer operators on these Banach spaces. For these we get a unique probability measure that exhibits exponential decay of correlations.

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Torsten Fischer, Hans Henrik Rugh. 1997-11-18. Transfer Operators for Coupled Analytic Maps. https://arxiv.org/abs/chao-dyn/9711018

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