86 citations · 350 across the 38 of their papers we have counts for
Showing 2014 · math.PRShow all
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math.PR2014
Kantorovich duality for general transport costs and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +1
We introduce a general notion of transport cost that encompasses many costs used in the literature (including the classical one and weak transport costs introduced by Talagrand and…
math.PR2014
Bounds on the deficit in the logarithmic Sobolev inequality
Sergey Bobkov, Nathael Gozlan, Cyril Roberto +1
The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.
math.PR2014
Transport proofs of weighted Poincaré inequalities for log-concave distributions
Dario Cordero-Erausquin, Nathael Gozlan
We prove, using optimal transport tools, weighted Poincar'e inequalities for log-concave random vectors satisfying some centering conditions. We recover by this way similar results…