Fetching the paper…
Reading the bibliography…
We consider a square random matrix of size N of the form A + Y where A is deterministic and Y has iid entries with variance 1/N.
Numerical inverting of matrices of high order
J. von Neumann and H. H. Goldstine · 1947
Earlier work this paper cites.
The eigenvalues of random symmetric matrices
Z. Füredi and J. Komlós · 1981
Earlier work this paper cites.
Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
Z. D. Bai and Y. Q. Yin · 1993
Earlier work this paper cites.
The Hadamard operator norm of a circulant and applications
R. Mathias · 1993
Earlier work this paper cites.
Probability and measure
P. Billingsley · 1995
Earlier work this paper cites.
How many zeros of a random polynomial are real?
A. Edelman and E. Kostlan · 1995
Earlier work this paper cites.
Brown’s spectral distribution measure for R R -diagonal elements in finite von Neumann algebras
U. Haagerup and F. Larsen · 2000
Earlier work this paper cites.
The coalgebra of the free difference quotient and free probability
D. Voiculescu · 2000
Earlier work this paper cites.
Computation of some examples of Brown’s spectral measure in free probability
P. Biane and F. Lehner · 2001
Earlier work this paper cites.
Random regularization of Brown spectral measure
P. Śniady · 2002
Earlier work this paper cites.
Smoothed analysis of algorithms
D. A. Spielman and S.-H. Teng · 2002
Earlier work this paper cites.
An introduction to the theory of point processes. Vol. I
D. J. Daley and D. Vere-Jones · 2003
Earlier work this paper cites.
Asymptotic freeness by generalized moments for Gaussian and Wishart matrices. Application to beta random matrices
M. Capitaine and M. Casalis · 2004
Earlier work this paper cites.
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
J. Baik, G. Ben Arous, and S. Péché · 2005
Earlier work this paper cites.
Random matrix theory
A. Edelman and N. R. Rao · 2005
Earlier work this paper cites.
Zeros of the i.i.d. Gaussian power series: a conformally invariant determinantal process
Y. Peres and B. Virág · 2005
Earlier work this paper cites.
The largest eigenvalue of small rank perturbations of Hermitian random matrices
S. Péché · 2006
Earlier work this paper cites.
Eigenvalue spectra of random matrices for neural networks
K. Rajan and L. F. Abbott · 2006
Earlier work this paper cites.
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices
R. B. Dozier and J. W. Silverstein · 2007
Earlier work this paper cites.
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices
R. B. Dozier and J. W. Silverstein · 2007
Earlier work this paper cites.
The largest eigenvalue of rank one deformation of large Wigner matrices
D. Féral and S. Péché · 2007
Cited alongside, same era.
Large deviations for the largest eigenvalue of rank one deformations of Gaussian ensembles
M. Maïda · 2007
Cited alongside, same era.
Spectral norm of random matrices
V. H. Vu · 2007
Cited alongside, same era.
Eigenvalue separation in some random matrix models
K. E. Bassler, P. J. Forrester, and N. E. Frankel · 2009
Cited alongside, same era.
The largest eigenvalues of finite rank deformation of large Wigner matrices: convergence and nonuniversality of the fluctuations
M. Capitaine, C. Donati-Martin, and D. Féral · 2009
Cited alongside, same era.
Zeros of Gaussian analytic functions and determinantal point processes
J. B. Hough, M. Krishnapur, Y. Peres, and B. Virág · 2009
Outliers in the spectrum of large deformed unitarily invariant models
S. Belinschi, H. Bercovici, M. Capitaine, and M. Février · 2012
Later among the works it cites.
The singular values and vectors of low rank perturbations of large rectangular random matrices
F. Benaych-Georges and R. R. Nadakuditi · 2012
Later among the works it cites.
Around the circular law
C. Bordenave and D. Chafaï · 2012
Later among the works it cites.
Central limit theorems for eigenvalues of deformations of Wigner matrices
M. Capitaine, C. Donati-Martin, and D. Féral · 2012
Later among the works it cites.
Support convergence in the single ring theorem
A. Guionnet and O. Zeitouni · 2012
Later among the works it cites.
Limit theorems for random analytic functions and their zeros
T. Shirai · 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices
T. Tao and V. Vu · 2009
Cited alongside, same era.
An introduction to random matrices
G. W. Anderson, A. Guionnet, and O. Zeitouni · 2010
Cited alongside, same era.
Spectral analysis of large dimensional random matrices
Z. Bai and J. W. Silverstein · 2010
Cited alongside, same era.
Fundamental limit of sample generalized eigenvalue based detection of signals in noise using relatively few signal-bearing and noise-only samples
N. R. Rao and J. Silverstein · 2010
Cited alongside, same era.
Universal sum and product rules for random matrices
T. Rogers · 2010
Cited alongside, same era.
Random matrices: universality of ESDs and the circular law
T. Tao and V. Vu · 2010
Cited alongside, same era.
Later among the works it cites.
Outliers in the single ring theorem
F. Benaych-Georges and J. Rochet · 2013
Later among the works it cites.
Exact separation phenomenon for the eigenvalues of large information-plus-noise type matrices
M. Capitaine · 2013
Later among the works it cites.
The isotropic semicircle law and deformation of Wigner matrices
A. Knowles and J. Yin · 2013
Later among the works it cites.
The outliers of a deformed wigner matrix
A. Knowles and J. Yin · 2013
Later among the works it cites.
Gaussian fluctuations for linear spectral statistics of large random covariance matrices
J. Najim and J. Yao · 2013
Later among the works it cites.
Low rank perturbations of large elliptic random matrices
S. O’Rourke and D. Renfrew · 2013
Later among the works it cites.
On finite rank deformations of Wigner matrices
A. Pizzo, D. Renfrew, and A. Soshnikov · 2013
Later among the works it cites.
On finite rank deformations of Wigner matrices II: Delocalized perturbations
D. Renfrew and A. Soshnikov · 2013
Later among the works it cites.
Outliers in the spectrum of iid matrices with bounded rank perturbations
T. Tao · 2013
Later among the works it cites.
Functional inequalities for convolution probability measures
F.-Y. Wang and J. Wang · 2013
Later among the works it cites.
Logarithmic Sobolev inequalities for mollified compactly supported measures
D. Zimmermann · 2013
Later among the works it cites.
Spectrum of markov generators on sparse random graphs
C. Bordenave, P. Caputo, and D. Chafaï · 2014
Closest in time.
Regularization of non-normal matrices by gaussian noise
O. Feldheim, E. Paquette, and O. Zeitouni · 2014
Closest in time.
Invertibility of random matrices: Unitary and orthogonal perturbations
M. Rudelson and R. Vershynin · 2014
Closest in time.