33 citations · 35 across the 4 of their papers we have counts for
4 papers
Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities
François Bolley, Ivan Gentil, Arnaud Guillin
In this work we consider dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. For this we use optimal transport methods and the Borell-Bra…
The Li-Yau inequality and applications under a curvature-dimension condition
Dominique Bakry, François Bolley, Ivan Gentil
We prove a global Li-Yau inequality for a general Markov semigroup under a curvature-dimension condition. This inequality is stronger than all classical Li-Yau type inequalities kn…
Phi-entropy inequalities for diffusion semigroups
François Bolley, Ivan Gentil
We obtain and study new -entropy inequalities for diffusion semigroups, with Poincaré or logarithmic Sobolev inequalities as particular cases. From this study we derive the asym…
Tanaka Theorem for Inelastic Maxwell Models
François Bolley, José Antonio Carrillo
We show that the Euclidean Wasserstein distance is contractive for inelastic homogeneous Boltzmann kinetic equations in the Maxwellian approximation and its associated Kac-like car…