Add to ORKGAbstract. We 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 Poincare ́ inequality in dimension one. 1
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
AbstractWe generalize Talagrand's inequality in the theory of optimal transport and give some applic...
This thesis deals with two different subjects : Conditional principle of Gibbs type and transportati...
Accepté à Annales de l'Institut Henri Poincaré - Probabilités et StatistiquesInternational audienceW...
International audienceWe give a necessary and sufficient condition for transport-entropy inequalitie...
We extend the dimension free Talagrand inequalities for convex distance using an extension of Marton...
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...
International audienceThe concentration measure principle is presented in an abstract way to encompa...
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 are concerned with the minimal entropy conditions for one-dimensional scalar conservation laws wi...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
AbstractWe generalize Talagrand's inequality in the theory of optimal transport and give some applic...
This thesis deals with two different subjects : Conditional principle of Gibbs type and transportati...
Accepté à Annales de l'Institut Henri Poincaré - Probabilités et StatistiquesInternational audienceW...
International audienceWe give a necessary and sufficient condition for transport-entropy inequalitie...
We extend the dimension free Talagrand inequalities for convex distance using an extension of Marton...
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...
International audienceThe concentration measure principle is presented in an abstract way to encompa...
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 are concerned with the minimal entropy conditions for one-dimensional scalar conservation laws wi...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different features of...
AbstractWe generalize Talagrand's inequality in the theory of optimal transport and give some applic...
This thesis deals with two different subjects : Conditional principle of Gibbs type and transportati...