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On the Subadditivity of the Entropy on the Sphere

dc.creatorEinav, Amit
dc.date.accessioned2018-11-24T23:26:42Z
dc.date.available2016-04-19T10:27:33Z
dc.date.available2018-11-24T23:26:42Z
dc.date.issued2015-11-17
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/255036
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3868
dc.description.abstractWe 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.
dc.languageen
dc.publisherSpringer
dc.publisherThe Journal of Geometric Analysis
dc.subjectequivalence of ensembles
dc.subjectentropy
dc.subjectentropic inequalities
dc.subjecttransportation distances
dc.subjectKac’s model
dc.titleOn the Subadditivity of the Entropy on the Sphere
dc.typeArticle


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