97-574 Torsten Fischer, Hans Henrik Rugh.

Transfer Operators for Coupled Analytic Maps. (472K, Post Script) Nov 17, 97

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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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