Intertwining relations for diffusions in manifolds and applications to functional inequalities

Baptiste Nicolas Huguet (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove intertwining relations by twisted gradients for Markov semi-groups. These relations are applied to Brascamp-Lieb type inequalities and spectral gap results. It generalizes the results of [1] from the Euclidean space to Riemannian manifolds and to non symmetric twisted operators.

Domaines: Probabilités [math.PR]; Analyse fonctionnelle [math.FA]

Baptiste Nicolas Huguet. Intertwining relations for diffusions in manifolds and applications to functional inequalities. Stochastic Processes and their Applications, 2022, 145. ⟨hal-02402712v2⟩