Intrinsic dimensional functional inequalities on model spaces

Orateur: Alexandros ESKENAZIS
Localisation: Sorbonne Université, France
Type: Groupe de travail Convexité, Transport Optimal et Probabilités (CTOP)
Site: Hors LAMA , IHP
Salle: Salle 01
Date de début: 11/05/2023 - 14:00
Date de fin: 11/05/2023 - 17:00

We shall present various “intrinsic dimensional” versions of classical functional inequalities. In the first part of the talk we will discuss the effect of scaling on Euclidean inequalities (log-Sobolev, Beckner, Gagliardo-Nirenberg). In the second part we will explain a stochastic approach leading to refined log-Sobolev inequalities on the sphere and the hyperbolic space.