A note on concentration functions on transformation groups

2014/08/15 by Kalantar, Mehrdad, Moakhar, Mohammad S. M.
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.3482

Abstract

In this note, we consider the concentration function problem for a continuous action of a locally compact group G on a locally compact Hausdorff space X. We prove a necessary and sufficient condition for the concentration functions of a spread-out irreducible probability measure μ on G to converge to zero.

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