3 citations · 3 across the 2 of their papers we have counts for
2 papers
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.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…