86 citations · 350 across the 38 of their papers we have counts for
3 papers · 2 filters
Characterization of a class of weak transport-entropy inequalities on the line
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +2
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…
A variational approach to some transport inequalities
Joaquin Fontbona, Nathael Gozlan, Jean-Francois Jabir
We relate transport-entropy inequalities to the study of critical points of functionals defined on the space of probability measures. This approach leads in particular to a new pro…
Functional inequalities for Gaussian convolutions of compactly supported measures: explicit bounds and dimension dependence
Jean-Baptiste Bardet, Nathaël Gozlan, Florent Malrieu +1
The aim of this paper is to establish various functional inequalities for the convolution of a compactly supported measure and a standard Gaussian distribution on Rd. We especially…