Sur le théorème des polaires à deux cercles
Théorème d'Euler sur trois points de rencontre dans le triangle
From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality
We develop in this paper an improvement of the method given by S. Bobkov and M. Ledoux in [BL00]. Using the Prékopa-Leindler inequality, we prove a modified logarithmic Sobolev inequality adapted for all measures on , with a strictly convex and super-linear potential. This inequality implies modified logarithmic Sobolev inequality, developed in [GGM05, GGM07], for all uniformly strictly convex potential as well as the Euclidean logarithmic Sobolev inequality.
Modified logarithmic Sobolev inequalities in null curvature.
Around Nash inequalities
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