Tied-down occupation times of infinite ergodic transformations

2019/10/22 by Aaronson, Jon., Sera, Toru
#37A40 #60F05 #Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1910.09846

Abstract

We prove distributional limit theorems (conditional and integrated) for the occupation times of certain weakly mixing, pointwise dual ergodic transformations at "tied-down" times immediately after "excursions". The limiting random variables include the local times of p-stable Lévy-bridges (1

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