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Functional limits for "tied down" occupation time processes of infinite ergodic transformations (2104.12006v5)
Published 24 Apr 2021 in math.PR and math.DS
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].