Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system

Lisette Jager, Jules Maes, Alain Ninet

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…