21 citations · 23 across the 3 of their papers we have counts for
3 papers
Transport Proofs Of Some Discrete Variants Of The Pr{é}Kopa-leindler Inequality
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +1
We give a transport proof of a discrete version of the displacement convexity of entropy on integers (Z), and get, as a consequence, two discrete forms of the Pr{é}kopa-Leindler In…
Displacement convexity of entropy and related inequalities on graphs
Nathaël Gozlan, Cyril Roberto, Paul-Marie Samson +1
We introduce the notion of an interpolating path on the set of probability measures on finite graphs. Using this notion, we first prove a displacement convexity property of entropy…
A new characterization of Talagrand's transport-entropy inequalities and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson
We show that Talagrand's transport inequality is equivalent to a restricted logarithmic Sobolev inequality. This result clarifies the links between these two important functional i…