PittsburghV1, France, Analysis, bibRecord, 000400

Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles

Identifieur interne : 000400 ( France/Analysis ); précédent : 000399; suivant : 000401

Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles

Auteurs : Alexander Bufetov [France] ; Sevak Mkrtchyan [États-Unis] ; Maria Shcherbina [France] ; Alexander Soshnikov [France]

Source :

Journal of Statistical Physics [ 0022-4715 ] ; 2013.

RBID : Hal:hal-01256180

Abstract

We show that beta ensembles in Random Matrix Theory with generic real analytic potential have the asymptotic equipartition property. In addition, we prove a Central Limit Theorem for the density of the eigenvalues of these ensembles.

Url:

https://hal.archives-ouvertes.fr/hal-01256180

DOI: 10.1007/s10955-013-0761-5

Affiliations:

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Hal:hal-01256180

Le document en format XML

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Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles

Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles

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Abstract

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