Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system
Dynamical Systems
2018-05-31 v1
Abstract
We study the real, bounded-variables process (X_n) defined by a k-term recurrence relation X_{n+k} ={\phi}(X_n, ... , X_{n+k-1}). We prove the decay of correlations, mainly under purely analytic hypotheses concerning the function {\phi} and its partial derivatives.
Cite
@article{arxiv.1606.01644,
title = {Exponential decay of correlations for a real-valued dynamical system generated by a k dimensional system},
author = {Lisette Jager and Jules Maes and Alain Ninet},
journal= {arXiv preprint arXiv:1606.01644},
year = {2018}
}
Comments
This paper deals with a k term recurrence relation, whereas a previous submission (1412.2644) treated the case when k=2