Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system
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🧮 math.DS
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correlationsdecaysystemanalyticbounded-variablesconcerningdefinedderivatives
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We study the real, bounded-variables process (X_n) defined by a k-term recurrence relation X_{n+k} ={\phi}(X_n, ... , X_{n+k-1}). We prove the decay of correlations, mainly under purely analytic hypotheses concerning the function {\phi} and its partial derivatives.
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