Local limit theorems for hitting times and return times of small sets
Dynamical Systems
2025-08-28 v2
Abstract
We establish abstract local limit theorems for hitting times and return-times of suitable sequences (A_{l}) of asymptotically rare events in ergodic probability preserving dynamical systems, including versions for tuples of consecutive times and positions of the hits. These results are shown to apply in the setup of Gibbs-Markov systems.
Keywords
Cite
@article{arxiv.2312.14581,
title = {Local limit theorems for hitting times and return times of small sets},
author = {Max Auer and Roland Zweimüller},
journal= {arXiv preprint arXiv:2312.14581},
year = {2025}
}
Comments
minor corrections and amendments