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Displacement convexity for the generalized orthogonal ensemble.

Blower, Gordon (2004) Displacement convexity for the generalized orthogonal ensemble. Journal of Statistical Physics, 116 (5/6). pp. 1359-1387. ISSN 0022-4715

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    Abstract

    The paper considers the generalized ensemble of n by n real symmetric matrices that is invariant under the natural action of the real orthogonal group and that is given by a real potential function. Under various conditions on the potential, the empirical eigenvalue distributions converge weakly almost surely to a non random equilibrium measure as n tends to infinity. The logarithmic energy is displacement convex as a functional on charge distributions with fixed mean on the real line for such potentials.

    Item Type: Article
    Journal or Publication Title: Journal of Statistical Physics
    Additional Information: The original publication is available at www.springerlink.com
    Uncontrolled Keywords: random matrices ; statistical mechanics
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 1696
    Deposited By: Professor Gordon Blower
    Deposited On: 18 Feb 2008 09:46
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Oct 2013 13:12
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/1696

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