Limit theorems for \(\beta\)-Laguerre and \(\beta\)-Jacobi ensembles

DOI10.1007/s10473-022-0517-xOpenAlexW4287835821WikidataQ113904574 ScholiaQ113904574MaRDI QIDQ2161532

Naqi Huang, Yu Tao Ma

Publication date: 4 August 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-022-0517-x

zbMATH Keywords

central limit theoremtotal variation distancebeta-ensembleslargest and smallest eigenvalues

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Large deviations (60F10) Random matrices (algebraic aspects) (15B52)

Related Items (3)

Approximation of beta-Jacobi ensembles by beta-Laguerre ensembles ⋮ Limit theorems and large deviations for \(\beta\)-Jacobi ensembles at scaling temperatures ⋮ Large deviations for top eigenvalues of \(\beta\)-Jacobi ensembles at scaling temperatures

Cites Work

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• The beta-Jacobi matrix model, the CS decomposition, and generalized singular value problems
• The smallest eigenvalue of a large dimensional Wishart matrix
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• Eigenvalue distributions of beta-Wishart matrices
• Global spectrum fluctuations for the β-Hermite and β-Laguerre ensembles via matrix models
• Gaussian Fluctuations for   Ensembles
• Distributions of the Extreme Eigenvaluesof Beta–Jacobi Random Matrices
• Matrix models for beta ensembles
• GLOBAL FLUCTUATIONS FOR LINEAR STATISTICS OF β-JACOBI ENSEMBLES

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