Functional limits for 'tied down' occupation time processes of infinite ergodic transformations

Autor:	Aaronson, Jon., Sera, Toru
Rok vydání:	2021
Předmět:	Mathematics - Probability Mathematics - Dynamical Systems 37A40 60F05
Druh dokumentu:	Working Paper
Popis:	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]. Comment: Conditional limit added and typos corrected. 40 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.12006 Zobrazit plný text záznamu View this record from Arxiv