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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Official URL: http://dx.doi.org/10.1023/B:JOSS.0000041742.86859....
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: | 26 Jul 2012 15:17 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/1696 |
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