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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: Article
    Journal or Publication Title: Journal of Inequalities in Pure and Applied Mathematics
    Additional Information: AMS 2000 classification: 60E15; 46L54
    Uncontrolled Keywords: Transportation inequality ; free probability ; random matrices
    Subjects: Q Science > 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: 09 Oct 2013 13:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/1697

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