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

• Autores: N. Gozlan, C. Roberto, P.-M. Samson
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 41, Nº. 5, 2013, págs. 3112-3139
• Idioma: inglés
• DOI: 10.1214/12-AOP757
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• Resumen

  • 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).