Hypercontractivity for perturbed diffusion semigroups

Patrick Cattiaux (1, 2)

1 MODAL'X - Modélisation aléatoire de Paris X
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

$\mu$ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F for the measure $\nu=e^{-2F} \mu$ to also satisfy some log-Sobolev inequality. Explicit examples are studied.

Domaines: Probabilités [math.PR]

Patrick Cattiaux. Hypercontractivity for perturbed diffusion semigroups. 2005. ⟨hal-00011201⟩