Transport-entropy inequalities on the line
Probability
2012-03-05 v1 Functional Analysis
Abstract
We give a necessary and sufficient condition for transport-entropy inequalities in dimension one. As an application, we construct a new example of a probability distribution verifying Talagrand's T2 inequality and not the logarithmic Sobolev inequality.
Keywords
Cite
@article{arxiv.1203.0326,
title = {Transport-entropy inequalities on the line},
author = {Nathael Gozlan},
journal= {arXiv preprint arXiv:1203.0326},
year = {2012}
}