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).
Citation
N. Gozlan. C. Roberto. P.-M. Samson. "Characterization of Talagrand’s transport-entropy inequalities in metric spaces." Ann. Probab. 41 (5) 3112 - 3139, September 2013. https://doi.org/10.1214/12-AOP757
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