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arxiv: 1411.0453 · v1 · pith:5JU7UIG4new · submitted 2014-11-03 · 🧮 math.DS

D\'ecroissance exponentielle des corr\'elations pour un syst\`eme dynamique r\'eel induit d'un syst\`eme en dimension 2

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

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