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

2021/04/24 by Aaronson, Jon., Sera, Toru
#37A40 #60F05 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2104.12006

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].

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