Entropy of spherical marginals and related inequalities - Laboratoire d'Analyse et de Mathématiques Appliquées Accéder directement au contenu
Article Dans Une Revue Journal de Mathématiques Pures et Appliquées Année : 2006

Entropy of spherical marginals and related inequalities

Résumé

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.

Dates et versions

hal-00693099 , version 1 (01-05-2012)

Identifiants

Citer

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

Altmetric

Partager

Gmail Facebook X LinkedIn More