Free and classical entropy over the circle.

Blower, Gordon (2007) Free and classical entropy over the circle. Journal of Inequalities in Pure and Applied Mathematics, 8 (1). pp. 1-6. ISSN 1443-5756

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Abstract

Relative entropy with respect to normalized arclength measure on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the modified relative free entropy. This note contains proofs of these inequalities and related consequences of the first Lebedev--Milin inequality.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Inequalities in Pure and Applied Mathematics

Additional Information:

AMS 2000 classification: 60E15; 46L54

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2604

Subjects:

?? transportation inequalityfree probabilityrandom matricesapplied mathematicsgeneral mathematicsmathematics(all)qa mathematics ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

1697

Deposited By:

Professor Gordon Blower

Deposited On:

18 Feb 2008 09:38

Refereed?:

Yes

Published?:

Published

Last Modified:

22 Dec 2024 01:31

URI:

https://eprints.lancs.ac.uk/id/eprint/1697