PittsburghV1, Hal, Corpus, bibRecord, 000248

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

Identifieur interne : 000248 ( Hal/Corpus ); précédent : 000247; suivant : 000249

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

Auteurs : Alexander Bufetov ; Sevak Mkrtchyan ; Maria Shcherbina ; Alexander Soshnikov

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

Links to Exploration step

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

Source :

Abstract

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri