Characterization of Talagrand's Like Transportation-Cost Inequalities on the Real Line
Probability
2007-05-23 v1
Abstract
In this paper, we give necessary and sufficient conditions for Talagrand's like transportation cost inequalities on the real line. This brings a new wide class of examples of probability measures enjoying a dimension-free concentration of measure property. Another byproduct is the characterization of modified Log-Sobolev inequalities for Log-concave probability measures on R.
Keywords
Cite
@article{arxiv.math/0608241,
title = {Characterization of Talagrand's Like Transportation-Cost Inequalities on the Real Line},
author = {Nathael Gozlan},
journal= {arXiv preprint arXiv:math/0608241},
year = {2007}
}