Characterization of Talagrand's transport-entropy inequalities in metric   spaces
  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). 
Natha\"el Gozlan (LAMA), Cyril Roberto (LAMA), Paul-Marie Samson   (LAMA)
math.PR math.FA