Exponential decay of correlations for a real valued dynamical system embedded in $\mathbb R^2$

Alain Ninet; Jules Maes; Lisette Jager

arxiv: 1412.2644 · v1 · pith:EJIEXZ7Vnew · submitted 2014-12-08 · 🧮 math.DS

Exponential decay of correlations for a real valued dynamical system embedded in mathbb R²

Lisette Jager , Jules Maes , Alain Ninet This is my paper

classification 🧮 math.DS

keywords correlationsdecaymathbbrealvaluedvarphiassumptionsbounded

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We study the real valued process $ \{X_t, t\in {\mathbb N}\} $ defined by $X_{t+2} = \varphi(X_t,X_{t+1})$, where the $X_t$ are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation $\varphi$.

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Exponential decay of correlations for a real valued dynamical system embedded in mathbb R²

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