We will present a Kantorovich-dual Theorem that involves new opimal transport costs. This general notion of transport cost encompasses many costs used in the litterature, including the classical one introduced by Talagrand and Marton in the 90'. As a by-product, we have a full description of a large class of transport-entropy inequalities in ter...
Samson, Paul-Marie (Université Paris-Est )
University of Minnesota, Institute for Mathematics and its Applications.