Entropy and convergence on compact groups
type: Item
instance of: scholarly article
title: Entropy and convergence on compact groups
zbMATH Open document ID: 0976.60012
DOI: 10.1023/A:1007818830500
author: Oliver Johnson
author: Yuri Suhov
published in: Journal of Theoretical Probability
publication date: 2001-12-10T00:00:00Z
review text: The classical theory of convergence of convolutions of probability measures on compact groups has concentrated on proving weak convergence and uniform convergence of densities. The authors investigate the behaviour of the entropy of convolutions of independent random variables on compact groups. They provide an explicit exponential bound on the rate of convergence of entropy to its maximum. They also prove that this type of convergence lies strictly between uniform convergence of densities and weak convergence.
reviewed by: Jun Kawabe
Mathematics Subject Classification ID: 60B15
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1552712
zbMATH Keywords: entropy
zbMATH Keywords: compact groups
zbMATH Keywords: convolution
MaRDI profile type: Publication
Wikidata QID: Q60522110
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description: scientific article; zbMATH DE number 1552712