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Displacement convexity for the generalized orthogonal ensemble.

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Displacement convexity for the generalized orthogonal ensemble. / Blower, Gordon.

In: Journal of Statistical Physics, Vol. 116, No. 5/6, 09.2004, p. 1359-1387.

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Blower, Gordon. / Displacement convexity for the generalized orthogonal ensemble. In: Journal of Statistical Physics. 2004 ; Vol. 116, No. 5/6. pp. 1359-1387.

Bibtex

@article{29e9dbd1c176464b96ec745fd0fe2031,
title = "Displacement convexity for the generalized orthogonal ensemble.",
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.",
keywords = "random matrices, statistical mechanics",
author = "Gordon Blower",
note = "The original publication is available at www.springerlink.com",
year = "2004",
month = sep,
doi = "10.1023/B:JOSS.0000041742.86859.cd",
language = "English",
volume = "116",
pages = "1359--1387",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "5/6",

}

RIS

TY - JOUR

T1 - Displacement convexity for the generalized orthogonal ensemble.

AU - Blower, Gordon

N1 - The original publication is available at www.springerlink.com

PY - 2004/9

Y1 - 2004/9

N2 - 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.

AB - 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.

KW - random matrices

KW - statistical mechanics

U2 - 10.1023/B:JOSS.0000041742.86859.cd

DO - 10.1023/B:JOSS.0000041742.86859.cd

M3 - Journal article

VL - 116

SP - 1359

EP - 1387

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 5/6

ER -