Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system
arXiv:1606.01644 · doi:10.1007/s10440-018-0192-z
Abstract
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.
This paper deals with a k term recurrence relation, whereas a previous submission (1412.2644) treated the case when k=2