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:
Journal Article
Journal or Publication Title:
Journal of Statistical Physics
Additional Information:
The original publication is available at www.springerlink.com
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
1696
Deposited By:
Deposited On:
18 Feb 2008 09:46
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Nov 2020 00:34