Torsten Fischer, Hans Henrik Rugh.
Transfer Operators for Coupled Analytic Maps.
(472K, Post Script)

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.