Hypercontractive measures, Talagrand's inequality, and influences
Probability
2011-05-24 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1105.4533,
title = {Hypercontractive measures, Talagrand's inequality, and influences},
author = {D. Cordero-Erausquin and M. Ledoux},
journal= {arXiv preprint arXiv:1105.4533},
year = {2011}
}