Perturbations in the Gaussian isoperimetric inequality

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4 Scopus citations

Abstract

An isoperimetric inequality of Gaussian type is derived for the class of probability measures on the Euclidean space, having perturbed log-concave densities with respect to the standard Gaussian measure. Bibliography: 23 titles.

Original languageEnglish (US)
Pages (from-to)3-14
Number of pages12
JournalJournal of Mathematical Sciences
Volume166
Issue number3
DOIs
StatePublished - 2010

Bibliographical note

Funding Information:
Acknowledgement. The work is partially supported by the NSF grant.

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