Characterization of Talagrand.s transport-entropy inequalities in metric spaces

Authors
N. Gozlan C. Roberto P.-M. Samson
Citation
N. Gozlan et al., Characterization of Talagrand.s transport-entropy inequalities in metric spaces, Annals of probability , 41(5), 2013, pp. 3112-3139
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
41
Issue
5
Year of publication
2013
Pages
3112 - 3139
Database
ACNP
SICI code
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).