Some remarks on isoperimetry of Gaussian type
type: Item
instance of: scholarly article
title: Some remarks on isoperimetry of Gaussian type
zbMATH Open document ID: 0964.60018
DOI: 10.1016/S0246-0203(00)00131-X
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2001-02-06T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77666
review text: The authors give a martingale proof of the Gaussian isoperimetry. This also yields \textit{S. G. Bobkov's} inequality [Ann. Probab. 25, No. 1, 206-214 (1997; Zbl 0883.60031)] for the two-point space and its extension to non-symmetric Bernoulli measures. The equivalence of different forms of Gaussian type isoperimetry is shown, which allows the authors to prove a sharp form of Bobkov's inequality for the sphere and to get isoperimetric estimates for the unit cube.
reviewed by: Marius Iosifescu
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60G15
Mathematics Subject Classification ID: 49Q20
zbMATH DE Number: 1525672
zbMATH Keywords: isoperimetry
zbMATH Keywords: Gaussian measure
author: Franck Barthe
author: Bernard Maurey
MaRDI profile type: Publication
OpenAlex ID: W2074962012
description: scientific article; zbMATH DE number 1525672