arXiv subjects
Publications and source records attributed to Jules Maes.
We study the real, bounded-variables process (X_n) defined by a k-term recurrence relation X_{n+k} =ϕ(X_n, ... , X_{n+k-1}). We prove the decay of correlations, mainly under purely analytic hypotheses concerning the function ϕ and its partial derivatives.
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 $φ$.
We study the discrete-time, real valued bounded process $\{X_n, n\in {\mathbb N} \}$ defined by a second order recurrence relation $X_{n+2} = φ(X_n,X_{n+1})$. We obtain the decay of correlations under analytical hypotheses on $φ$ (regularity, bounds on derivatives ...)