Décroissance exponentielle des corrélations pour un système dynamique réel induit d'un système en dimension 2

Abstract

We study the discrete-time, real valued bounded process $\{X_n,n\in \mathbb{N}\}$ defined by a second order recurrence relation $X_{n+2}=\phi (X_n,X_{n+1})$. We obtain the decay of correlations under analytical hypotheses on $\phi$ (regularity, bounds on derivatives ...)

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