45 citations · 48 across the 3 of their papers we have counts for
3 papers
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…
math.PR2012
Transport-entropy inequalities on the line
Nathael Gozlan
We give a necessary and sufficient condition for transport-entropy inequalities in dimension one. As an application, we construct a new example of a probability distribution verify…
math.PR2010★ 45 cited
Transport Inequalities. A Survey
Nathael Gozlan, Christian Léonard
This is a survey of recent developments in the area of transport inequalities. We investigate their consequences in terms of concentration and deviation inequalities and sketch the…