Blower, Gordon (2004) Displacement convexity for the generalized orthogonal ensemble. Journal of Statistical Physics, 116 (5/6). pp. 1359-1387. ISSN 0022-4715Full text not available from this repository.
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.
|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|
|Deposited By:||Professor Gordon Blower|
|Deposited On:||18 Feb 2008 09:46|
|Last Modified:||17 Jan 2017 01:10|
Actions (login required)