Entropy of spherical marginals and related inequalities

DOI10.1016/j.matpur.2006.04.003zbMath1274.62059OpenAlexW1975135296MaRDI QIDQ869107

Franck Barthe, Dario Cordero-Erausquin, Bernard Maurey

Publication date: 26 February 2007

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2006.04.003

zbMATH Keywords

entropymarginalsspherical inequalities

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistical aspects of information-theoretic topics (62B10)

Related Items

A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles ⋮ On the subadditivity of the entropy on the sphere ⋮ Kac's program in kinetic theory ⋮ A family of sharp inequalities on real spheres ⋮ Chaos for rescaled measures on Kac's sphere ⋮ On the nonlinear Brascamp-Lieb inequality ⋮ Quantitative and qualitative Kac's chaos on the Boltzmann's sphere ⋮ The geometry of Euclidean convolution inequalities and entropy ⋮ Closure properties of solutions to heat inequalities ⋮ On Kac's chaos and related problems ⋮ Subadditivity of the entropy and its relation to Brascamp-Lieb type inequalities ⋮ Generating monotone quantities for the heat equation ⋮ Brascamp-Lieb inequalities on compact homogeneous spaces ⋮ Remarks on Gaussian Noise Stability, Brascamp-Lieb and Slepian Inequalities

Cites Work

• Unnamed Item
• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• An inequality of Hadamard type for permanents
• Best constants in Young's inequality, its converse, and its generalization to more than three functions
• The subindependence of coordinate slabs in \(l_p^n\) balls
• A sharp analog of Young's inequality on \(S^N\) and related entropy inequalities
• The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
• Information theoretic inequalities