Characterization of Talagrand's transport-entropy inequalities in metric spaces
Probability
2013-10-07 v2 Functional Analysis
Abstract
We give a characterization of transport-entropy inequalities in metric spaces. As an application we deduce that such inequalities are stable under bounded perturbation (Holley-Stroock perturbation Lemma).
Keywords
Cite
@article{arxiv.1106.0877,
title = {Characterization of Talagrand's transport-entropy inequalities in metric spaces},
author = {Nathaël Gozlan and Cyril Roberto and Paul-Marie Samson},
journal= {arXiv preprint arXiv:1106.0877},
year = {2013}
}