Local semicircle law at the spectral edge for Gaussian \(\beta \)-ensembles

DOI10.1007/s00220-012-1456-5zbMath1251.82031arXiv1111.1351OpenAlexW3100269880MaRDI QIDQ421008

Percy Wong

Publication date: 23 May 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1351

zbMATH Keywords

spectrumGaussian \(\beta \)-ensembles

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random matrices (algebraic aspects) (15B52)

Related Items

Stochastic Airy semigroup through tridiagonal matrices ⋮ Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles ⋮ Spectral fluctuations for Schrödinger operators with a random decaying potential

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• An Introduction to Random Matrices
• Central limit theorem for traces of large random symmetric matrices with independent matrix elements
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