Add to ORKGAccepté à Annales de l'Institut Henri Poincaré - Probabilités et StatistiquesInternational audienceWe study an optimal weak transport cost related to the notion of convex order between probability measures. On the real line, we show that this weak transport cost is reached for a coupling that does not depend on the underlying cost function. As an application, we give a necessary and sufficient condition for weak transport-entropy inequalities in dimension one. In particular, we obtain a weak transport-entropy form of the convex Poincaré inequality in dimension one
We show that a class of Poincaré-Wirtinger inequalities on bounded convex sets can be obtained by me...
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
International audienceA framework for deriving Rényi entropy-power inequalities (EPIs) is presented ...
Abstract. We study an optimal weak transport cost related to the notion of convex order between prob...
We extend the dimension free Talagrand inequalities for convex distance using an extension of Marton...
International audienceWe give a necessary and sufficient condition for transport-entropy inequalitie...
My research is focused on functional inequalities related to the concentration of measure phenomenon...
We introduce a new variant of the weak optimal transport problem where mass is distributed from one ...
Abstract. We introduce a general notion of transport cost that encompasses many costs used in the li...
International audienceWe introduce a general notion of transport cost that encompasses many costs us...
This thesis deals with two different subjects : Conditional principle of Gibbs type and transportati...
International audienceThe concentration measure principle is presented in an abstract way to encompa...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
International audienceWe present a simple proof of the entropy-power inequality using an optimal tra...
The distance that compares the difference between two probability distributions plays a fundamental ...
We show that a class of Poincaré-Wirtinger inequalities on bounded convex sets can be obtained by me...
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
International audienceA framework for deriving Rényi entropy-power inequalities (EPIs) is presented ...
Abstract. We study an optimal weak transport cost related to the notion of convex order between prob...
We extend the dimension free Talagrand inequalities for convex distance using an extension of Marton...
International audienceWe give a necessary and sufficient condition for transport-entropy inequalitie...
My research is focused on functional inequalities related to the concentration of measure phenomenon...
We introduce a new variant of the weak optimal transport problem where mass is distributed from one ...
Abstract. We introduce a general notion of transport cost that encompasses many costs used in the li...
International audienceWe introduce a general notion of transport cost that encompasses many costs us...
This thesis deals with two different subjects : Conditional principle of Gibbs type and transportati...
International audienceThe concentration measure principle is presented in an abstract way to encompa...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
International audienceWe present a simple proof of the entropy-power inequality using an optimal tra...
The distance that compares the difference between two probability distributions plays a fundamental ...
We show that a class of Poincaré-Wirtinger inequalities on bounded convex sets can be obtained by me...
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
International audienceA framework for deriving Rényi entropy-power inequalities (EPIs) is presented ...