Exponential return times in a zero-entropy process
Dynamical Systems
2011-01-11 v1 Probability
Abstract
We construct a zero-entropy weakly mixing finite-valued process with the exponential limit law for return resp. hitting times. This limit law is obtained in almost every point, taking the limit along the full sequence of cylinders around the point. Till now, the exponential limit law for return resp. hitting times, taking the limit along the full sequence of cylinders, have been obtained only in positive-entropy processes satisfying some strong mixing conditions of Rossenblatt type.
Keywords
Cite
@article{arxiv.1101.1828,
title = {Exponential return times in a zero-entropy process},
author = {Paulina Grzegorek and Michal Kupsa},
journal= {arXiv preprint arXiv:1101.1828},
year = {2011}
}