Functional limits for "tied down" occupation time processes of infinite ergodic transformations
Probability
2023-11-21 v5 Dynamical Systems
Abstract
We prove functional, distributional limit theorems for the occupation times of pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting processes are tied down Mittag-Leffler processes and the transformations involved exhibit functional tied-down renewal mixing properties strengthening those of [AS19].
Keywords
Cite
@article{arxiv.2104.12006,
title = {Functional limits for "tied down" occupation time processes of infinite ergodic transformations},
author = {Jon. Aaronson and Toru Sera},
journal= {arXiv preprint arXiv:2104.12006},
year = {2023}
}
Comments
Conditional limit added and typos corrected. 40 pages