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

被引：0
|
作者：
Alexander Bufetov
Sevak Mkrtchyan
Maria Shcherbina
Alexander Soshnikov
机构：
[1] CNRS,Laboratoire d’Analyse, Topologie, Probabilités
[2] The Steklov Institute of Mathematics,undefined
[3] The Institute for Information Transmission Problems,undefined
[4] National Research University Higher School of Economics,undefined
[5] The Independent University of Moscow,undefined
[6] Rice University,undefined
[7] Carnegie Mellon University,undefined
[8] Institute for Low Temperature Physics Ukr. Ac. Sci.,undefined
[9] University of California at Davis,undefined
来源：
Journal of Statistical Physics | 2013年 / 152卷
关键词：
Random matrices; Beta ensembles; Entropy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：1 / 14
页数：13
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