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math.PR2011★ 24 cited
Characterization of Talagrand's transport-entropy inequalities in metric spaces
Nathaël Gozlan, Cyril Roberto, Paul-Marie Samson
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-Stro…
math.PR2011★ 21 cited
A new characterization of Talagrand's transport-entropy inequalities and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson
We show that Talagrand's transport inequality is equivalent to a restricted logarithmic Sobolev inequality. This result clarifies the links between these two important functional i…