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Chapitre D'ouvrage Année : 2017

Borell's formula on a Riemannian manifold and applications

Résumé

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.
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Dates et versions

hal-01428968 , version 1 (06-01-2017)

Identifiants

Citer

Joseph Lehec. Borell's formula on a Riemannian manifold and applications. Carlen, E.; Madiman, M.; Werner, E. Convexity and Concentration, 161, Springer, pp.267-284, 2017, The IMA Volumes in Mathematics and its Applications. ⟨hal-01428968⟩
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