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Borell's formula on a Riemannian manifold and applications

Lehec, Joseph (2017), Borell's formula on a Riemannian manifold and applications, in 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
Book title
Convexity and Concentration
Book author
Carlen E., Madiman M., Werner E.
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-1-4939-7004-9
Pages
267-284
Publication identifier
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Author(s)
Lehec, Joseph cc
Abstract (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.
Subjects / Keywords
Borell; Riemannian