Borell's formula on a Riemannian manifold and applications

Lehec, Joseph

Lehec, Joseph (2017), Borell's formula on a Riemannian manifold and applications, dans Carlen E., Madiman M., Werner E., Convexity and Concentration, Springer : Berlin Heidelberg, p. 267-284. 10.1007/978-1-4939-7005-6_9

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Type

Chapitre d'ouvrage

Date

2017

Titre de l'ouvrage

Convexity and Concentration

Auteurs de l’ouvrage

Carlen E., Madiman M., Werner E.

Éditeur

Springer

Ville d’édition

Berlin Heidelberg

Isbn

978-1-4939-7004-9

Pages

267-284

Résumé (EN)

Borell's formula is a stochastic variational formula for the log-Laplace transform of a function of a Gaussian vector. We establish an extension of this to the Riemannian setting and give a couple of applications, including a new proof of a convolution inequality on the sphere due to Carlen, Lieb and Loss.

Mots-clés

Borell; Riemannian