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arXiv · 1106.0877

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

Nathaël Gozlan·Cyril Roberto·Paul-Marie Samson
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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).

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Nathaël Gozlan, Cyril Roberto, Paul-Marie Samson. 2011-06-05. Characterization of Talagrand's transport-entropy inequalities in metric spaces. https://doi.org/10.1214/12-aop757

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