Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles
Identifieur interne : 000325 ( Hal/Checkpoint ); précédent : 000324; suivant : 000326Entropy 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.
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.
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DOI: 10.1007/s10955-013-0761-5
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