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

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

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