@article{5fe9e2a8e5394e9ba52ca8de97b6efe2,
title = "Functional limits for “tied down” occupation time processes of infinite ergodic transformations",
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 the tied down Mittag-Leffler processes and the transformations involved exhibit functional versions of the tied-down renewal properties in (Aaronson and Sera (2019)).",
keywords = "Conditional limit theorem, Darling–Kac theorem, Infinite ergodic theory, Local time process, Mittag Leffler processes, Pointwise dual ergodic, Rational weak mixing, Stable subordinator, Tied-down renewal theory",
author = "Jon Aaronson and Toru Sera",
note = "Publisher Copyright: {\textcopyright} Association des Publications de l{\textquoteright}Institut Henri Poincar{\'e}, 2025.",
year = "2025",
month = may,
doi = "10.1214/23-AIHP1452",
language = "אנגלית",
volume = "61",
pages = "1249--1278",
journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",
issn = "0246-0203",
publisher = "Institute of Mathematical Statistics",
number = "2",
}