Randomly Perturbed Ergodic Averages

2018/06/07 by Choi, JaeYong, Reinhold, Karin
#Dynamical Systems (math.DS) #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1806.02816

Abstract

Convergence properties of random ergodic averages have been extensively studied in the literature. In these notes, we exploit a uniform estimate by Cohen & Cuny who showed convergence of a series along randomly perturbed times for functions in L² with ∫ max(1,log (1+|t|)) dμ_f

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