Decay of Concentration Functions for Adapted Probabilities on Discrete Groups

T. M. Retzlaff
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T. M. Retzlaff: Pennsylvania State University

Journal of Theoretical Probability, 2004, vol. 17, issue 4, 1031-1040

Abstract: Abstract Given a probability measure, μ , on a locally compact group, necessary and sufficient support conditions which ensure that the concentration functions associated with μ converge to zero have previously been determined. In this note the rate of this convergence when μ is adapted on a discrete group G is shown to depend on the volume growth rate of N μ , the smallest normal subgroup a coset of which contains the support of μ .

Keywords: Concentration functions; decay; convolution powers (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s10959-004-0589-7

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