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Scholarly Works (1 results)
Article
Peer Reviewed
Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles
Bufetov, Alexander
;
Mkrtchyan, Sevak
;
Shcherbina, Maria
;
Soshnikov, Alexander
Faculty
(2013)
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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