Gaussian fluctuations of eigenvalues in log-gas ensemble: bulk case. I

DOI10.1007/s10114-015-3685-yzbMath1328.15053OpenAlexW2405717682MaRDI QIDQ748194

Deng Zhang

Publication date: 20 October 2015

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-015-3685-y

zbMATH Keywords

convergenceeigenvaluescentral limit theoremHermitian random matricesbulk caseCostin-Lebowitz-Soshnikov theoremlog-gas ensemble

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items (4)

An update on local universality limits for correlation functions generated by unitary ensembles ⋮ Tridiagonal random matrix: Gaussian fluctuations and deviations ⋮ Some connections between the classical Calogero-Moser model and the log-gas ⋮ Gaussian fluctuations and moderate deviations of eigenvalues in unitary invariant ensembles

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