2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15563We 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.44 pages, Latex + 2 post script figuresChaotic Dynamicstext