Higher order return times for $\phi$-mixing measures
Probability
2025-10-17 v1 Dynamical Systems
Abstract
In this paper we consider -mixing measures and show that the limiting return times distribution is compound Poisson distribution as the target sets shrink to a zero measure set. The approach we use generalises a method given by Galves and Schmitt in 1997 for the first entry time to higher orders.
Cite
@article{arxiv.2510.14116,
title = {Higher order return times for $\phi$-mixing measures},
author = {Nicolai T A Haydn and Gin Park},
journal= {arXiv preprint arXiv:2510.14116},
year = {2025}
}
Comments
19 pages