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We study the real, bounded-variables process (X_n) defined by a k-termrecurrence relation X_{n+k} ={\phi}(X_n, ... , X_{n+k-1}). We prove the decayof correlations, mainly under purely analytic hypotheses concerning thefunction {\phi} and its partial derivatives.

Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system