On the Subadditivity of the Entropy on the Sphere

Einav, Amit

Abstract

We present a refinement of a known entropic inequality on the sphere, finding suitable conditions under which the uniform probability measure on the sphere behaves asymptomatically like the Gaussian measure on RN with respect to the entropy. Additionally, we remark about the connection between this inequality and the investigation of the many-body Cercignani’s conjecture.

Citation

Einav, A. (2016). On the Subadditivity of the Entropy on the Sphere. Journal of Geometric Analysis, 26(4), 3098–3128. https://doi.org/10.1007/s12220-015-9664-9

• Journal Article Type: Article
• Acceptance Date: Oct 17, 2015
• Online Publication Date: Nov 17, 2015
• Publication Date: 2016-10
• Deposit Date: Nov 16, 2020
• Journal: Journal of Geometric Analysis
• Print ISSN: 1050-6926
• Electronic ISSN: 1559-002X
• Publisher: Springer
• Volume: 26
• Issue: 4
• Pages: 3098–3128
• DOI: https://doi.org/10.1007/s12220-015-9664-9
• Public URL: https://durham-repository.worktribe.com/output/1257200