Entropy jumps in the presence of a spectral gap
type: Item
instance of: scholarly article
title: Entropy jumps in the presence of a spectral gap
zbMATH Open document ID: 1036.94003
DOI: 10.1215/S0012-7094-03-11912-2
author: Assaf Naor
author: Keith Ball
author: Franck Barthe
published in: Duke Mathematical Journal
publication date: 2003-10-13T00:00:00Z
review text: Let \(X\) be a random variable whose density satisfies a Poincaré inequality and \(Y\) be an independent copy of \(X\). The authors show that the entropy of \((X + Y)/\sqrt 2\) is greater than that of \(X\) by a fixed fraction of the entropy gap between \(X\) and the Gaussian with the same variance.
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1991038
zbMATH Keywords: entropy gap
reviewed by: Arjun K. Gupta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1991038