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

preprint2014arXivOpen access

Abstract

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

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