Interpolations, convexity and geometric inequalities

Dario Cordero-Erausquin, Bo'Az Klartag

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We survey several Talagrand type inequalities and their application to influences with the tool of hypercontractivity for both discrete and continuous, and product and non-product models. The approach covers similarly by a simple interpolation the framework of geometric influences recently developed by N. Keller, E. Mossel and A. Sen. Geometric Brascamp-Lieb decompositions are also considered in this context.

Original languageEnglish
Title of host publicationGeometric Aspects of Functional Analysis
Subtitle of host publicationIsrael Seminar 2006-2010
PublisherSpringer Verlag
Pages151-168
Number of pages18
ISBN (Print)9783642298486
DOIs
StatePublished - 2012
Externally publishedYes

Publication series

NameLecture Notes in Mathematics
Volume2050
ISSN (Print)0075-8434

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