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. © 2013 Springer Science+Business Media New York.
CITATION STYLE
Bufetov, A., Mkrtchyan, S., Shcherbina, M., & Soshnikov, A. (2013). Entropy and the Shannon-McMillan-Breiman Theorem for Beta Random Matrix Ensembles. Journal of Statistical Physics, 152(1), 1–14. https://doi.org/10.1007/s10955-013-0761-5
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