Uniform approximation of eigenvalues in Laguerre and Hermite 𝛽-ensembles by roots of orthogonal polynomials
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Publication:5297038
DOI10.1090/S0002-9947-07-04191-8zbMath1118.60022OpenAlexW2116381873MaRDI QIDQ5297038
Lorens A. Imhof, Dette, Holger
Publication date: 17 July 2007
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04191-8
Strong limit theorems (60F15) Quantum equilibrium statistical mechanics (general) (82B10) Random matrices (algebraic aspects) (15B52)
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On the spacings between the successive zeros of the Laguerre polynomials, Random block matrices and matrix orthogonal polynomials, Random block matrices generalizing the classical Jacobi and Laguerre ensembles
Cites Work
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- Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
- The smallest eigenvalue of a large dimensional Wishart matrix
- Convergence to the semicircle law
- Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix
- A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
- Asymptotics and bounds for the zeros of Laguerre polynomials: A survey
- Gaussian fluctuations of eigenvalues in the GUE
- On the distribution of the largest eigenvalue in principal components analysis
- Shape fluctuations and random matrices
- Eigenvalues of Hermite and Laguerre ensembles: large beta asymptotics
- Matrix Analysis
- Bound on the Extreme Zeros of Orthogonal Polynomials
- Convergence Rates of Spectral Distributions of Large Sample Covariance Matrices
- Matrix models for beta ensembles
- The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
- Distributions of Matrix Variates and Latent Roots Derived from Normal Samples