Séminaire Jeunes chercheurs (Giovanni Brigati, jeudi 11 septembre 2025)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 11 septembre 2025 à 17h en salle A411. Nous aurons le plaisir d'écouter Giovanni Brigati (ISTA), qui nous parlera de

Nonlinear diffusion flows and constructive stability for interpolation and logarithmic Sobolev inequalities

Abstract
We analyse three different stability problems for functional inequalities. We investigate Gagliardo—Nirenberg inequalities on the sphere, and Beckner’s inequalities in the Gaussian space, as a rigorous infinite-dimensional limit of those. Finally, as the critical endpoint of Beckner’s inequalities, we consider the Gaussian LSI. Stability results are provided, in a constructive fashion, via a flow-based technique, combined with spectral analysis, and precise Taylor expansions. The presentation is based on a series of papers by Jean Dolbeault, Nikita Simonov, and the speaker.