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Let $G_n$ be an $n \times n$ matrix with real i.i.d.
The distribution of the determinant of a complex wishart distributed matrix
NR Goodman · 1963
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The behavior of eigenvalues and singular values under perturbations of restricted rank
R. C. Thompson · 1976
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Eigenvalues and condition numbers of random matrices
Alan Edelman · 1988
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Condition numbers of random matrices
Stanislaw J. Szarek · 1991
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How many eigenvalues of a random matrix are real?
Alan Edelman, Eric Kostlan, and Michael Shub · 1994
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Roger A. Horn and Charles R. Johnson · 1994
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A remark on perturbations of compact operators
Lars Hörmander and Anders Melin · 1994
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Eigenvector statistics in non-Hermitian random matrix ensembles
John T. Chalker and Bernhard Mehlig · 1998
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Local operator theory, random matrices and Banach spaces
Kenneth R. Davidson and Stanisław J. Szarek · 2001
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Random regularization of Brown spectral measure
Piotr Śniady · 2002
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Low rank perturbation of Jordan structure
Julio Moro and Froilán M Dopico · 2003
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On the change in the spectral properties of a matrix under perturbations of sufficiently low rank
Sergey Valerievich Savchenko · 2004
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Smoothed analysis of the condition numbers and growth factors of matrices
Arvind Sankar, Daniel A. Spielman, and Shang-Hua Teng · 2006
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Approximate diagonalization
E. Brian Davies · 2007
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The Littlewood–Offord problem and invertibility of random matrices
Mark Rudelson and Roman Vershynin · 2008
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Random matrices: The distribution of the smallest singular values
Terence Tao and Van Vu · 2010
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Random matrices: Universality of ESDs and the circular law
Terence Tao, Van Vu, Manjunath Krishnapur, et al · 2010
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Matrix analysis
Roger A Horn and Charles R Johnson · 2012
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Restricted invertibility revisited
Assaf Naor and Pierre Youssef · 2017
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Invertibility via distance for non-centered random matrices with continuous distributions
Konstantin Tikhomirov · 2017
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On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry
Yan V. Fyodorov · 2018
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Random matrices: Overcrowding estimates for the spectrum
Hoi H. Nguyen · 2018
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The distribution of overlaps between eigenvectors of Ginibre matrices
Paul Bourgade and Guillaume Dubach · 2019
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André C. M. Ran and Michał Wojtylak · 2012
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