Keyword

eigenvalue distribution

Description: The arrangement or statistical distribution of eigenvalues of matrices or operators, studied in random matrix theory and spectral analysis.

Primary topic: Random Matrices and Applications (29%)

OpenAlex ID: keywords/eigenvalue-distribution

Distribution of Eigenvalues for Some Sets of Random Matrices

1967 · V A Marčenko, L A Pastur · Mathematics of the USSR-Sbornik · 2,463

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Statistical Theory of the Energy Levels of Complex Systems. I

1962 · Freeman J. Dyson · Journal of Mathematical Physics · 2,266

Rapid Convergence Rate in Adaptive Arrays

1974 · I.S. Reed, J.D. Mallett, et al. · IEEE Transactions on Aerospace and Electronic Systems · 2,204

Introduction to the non-asymptotic analysis of random matrices

2012 · Roman Vershynin · Cambridge University Press eBooks · 2,178

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On the Distribution of the Roots of Certain Symmetric Matrices

1958 · Eugene P. Wigner · Annals of Mathematics · 1,465

Eigenvalues of a real supersymmetric tensor

2005 · Liqun Qi · Journal of Symbolic Computation · 1,443

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Statistical Ensembles of Complex, Quaternion, and Real Matrices

1965 · Jean Ginibre · Journal of Mathematical Physics · 1,059

On orthogonal and symplectic matrix ensembles

1996 · Craig A. Tracy, Harold Widom · Communications in Mathematical Physics · 790

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Limit laws for Random matrices and free products

1991 · Dan Voiculescu · Inventiones mathematicae · 769

Distribution of eigenfrequencies for the wave equation in a finite domain

1970 · R Balian, C Bloch · Annals of Physics · 739

An Improvement on Horn's Parallel Analysis Methodology for Selecting the Correct Number of Factors to Retain

1995 · Louis W. Glorfeld · Educational and Psychological Measurement · 732

On the Empirical Distribution of Eigenvalues of a Class of Large Dimensional Random Matrices

1995 · J.W. Silverstein, Z.D. Bai · Journal of Multivariate Analysis · 697

On Orthogonal and Symplectic Matrix Ensembles

1995 · Tracy, Craig A., Widom, Harold · 679

Methodologies in Spectral Analysis of Large Dimensional Random Matrices, a Review

2008 · Z. D. Bai · Advances in Statistics · 627

Spectral Methods of Automorphic Forms

2002 · Henryk Iwaniec · Graduate studies in mathematics · 557

Random matrix theory

2005 · Alan Edelman, N. Raj Rao · Acta Numerica · 534

Random Matrices in Physics

1967 · Eugene P. Wigner · SIAM Review · 532

Function Spaces, Entropy Numbers, Differential Operators

1996 · D. E. Edmunds, H. Triebel · Cambridge University Press eBooks · 502

A relation between the density of states and range of localization for one dimensional random systems

1972 · D J Thouless · Journal of Physics C Solid State Physics · 475

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Eigenvalue Distribution of Compact Operators

1986 · Hermann König · Operator theory · 469

A Generalized Conjugate Gradient Method for the Numerical Solution of Elliptic Partial Differential Equations

1976 · Paul Concus, Gene H. Golub, et al. · Elsevier eBooks · 441

An empirical Kaiser criterion.

2016 · Johan Braeken, Marcel A. L. M. van Assen · Psychological Methods · 436

Random matrices: Universality of ESDs and the circular law

2010 · Terence Tao, Van Vu, et al. · The Annals of Probability · 419

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Spectral Properties of Banded Toeplitz Matrices

2005 · Albrecht Böttcher, Sergei M. Grudsky · Society for Industrial and Applied Mathematics eBooks · 417

Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners

1994 · David Silvester, Andrew Wathen · SIAM Journal on Numerical Analysis · 401

Works count: 4,495

Citation count: 80,870