Skip to Main content Skip to Navigation
Journal articles

Entropy of spherical marginals and related inequalities

Abstract : We investigate relations between the entropy of a spherical density and those of its marginals, together with spherical convolution type inequalities. We extend results by Carlen, Lieb and Loss to more general configurations. Our argument involves a corresponding superadditivity result for Fisher information, which has a clear geometric meaning. (C) 2006 Elsevier SAS. All rights reserved.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693099
Contributor : Admin Lama <>
Submitted on : Tuesday, May 1, 2012 - 8:11:36 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM

Links full text

Identifiers

Citation

F. Barthe, Dario Cordero-Erausquin, B. Maurey. Entropy of spherical marginals and related inequalities. Journal de Mathématiques Pures et Appliquées, Elsevier, 2006, 86 (2), pp.89--99. ⟨10.1016/j.matpur.2006.04.003⟩. ⟨hal-00693099⟩

Share

Metrics

Record views

399