24 citations · 70 across the 15 of their papers we have counts for
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math.PR2012★ 2 cited
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…
math.PR2012★ 3 cited
Hamilton Jacobi equations on metric spaces and transport-entropy inequalities
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson
We prove an Hopf-Lax-Oleinik formula for the solutions of some Hamilton- Jacobi equations on a general metric space. As a first consequence, we show in full gener- ality that the l…