Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles
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Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles

  • Author(s): Bufetov, Alexander
  • Mkrtchyan, Sevak
  • Shcherbina, Maria
  • Soshnikov, Alexander
  • et al.

Published Web Location

https://arxiv.org/pdf/1301.0342.pdf
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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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