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We address overcrowding estimates for the singular values of random iid matrices, as well as for the eigenvalues of random Wigner matrices.
H. Goldstine and J. von Neumann, Numerical inverting of matrices of high order , Bull. Amer. Math. Soc. 53 (1947), 1021-1099
1947
Earlier work this paper cites.
S. Wilks, Mathematical Statistics
1963
Earlier work this paper cites.
M. Carmeli, Statistical theory and random matrices
1983
Earlier work this paper cites.
A. Edelman, Eigenvalues and condition numbers of random matrices , SIAM J. Matrix Anal. Appl. 9 (1988), no. 4, 543-560
1988
Earlier work this paper cites.
S. Szarek, Condition numbers of random matrices
1991
Earlier work this paper cites.
M. Talagrand, A new look at independence, Annals of Probability 24, 1-34 (1996)
1996
Earlier work this paper cites.
D. A. Spielman and S. H. Teng, Smoothed analysis of algorithms , Proceedings of the International Congress of Mathematicians, Vol. I, 597-606, Higher Ed. Press, Beijing, 2002
2002
Earlier work this paper cites.
A. Sankar, D. Spielman, and S.-H. Teng, Smoothed analysis of the condition numbers and growth factors of matrices
2006
Earlier work this paper cites.
M. Rudelson and R. Vershynin, Sampling from large matrices: an approach through geometric functional analysis
2007
Earlier work this paper cites.
M. Rudelson and R. Vershynin, The Littlewood-Offord Problem and invertibility of random matrices
2008
Earlier work this paper cites.
J. -M. Combes, F. Germinet and A. Klein, Generalized eigenvalue-counting estimates for the Anderson model
2009
Cited alongside, same era.
M. Rudelson and R. Vershynin, Smallest singular value of a random rectangular matrix
2009
Cited alongside, same era.
T. Tao and V. Vu, Inverse Littlewood-Offord theorems and the condition number of random matrices
2009
Cited alongside, same era.
L. Erdős, B. Schlein and H.-T. Yau, Wegner estimate and level repulsion for Wigner random matrices
2010
Cited alongside, same era.
T. Tao and V. Vu, Smooth analysis of the condition number and the least singular value
2010
Cited alongside, same era.
T. Tao and V. Vu, Random matrices: the distribution of the smallest singular values
2010
M. Rudelson and R. Vershynin, Small ball probabilities for linear images of high dimensional distributions
2015
Later among the works it cites.
P. Bourgade, L. Erdős, H.-T. Yau and J. Yin, Fixed energy universality for generalized Wigner matrices
2016
Later among the works it cites.
B. Farrell and R. Vershynin, Smoothed analysis of symmetric random matrices with continuous distributions
2016
Later among the works it cites.
M. Rudelson and R. Vershynin, No-gaps delocalization for general random matrices
2016
Later among the works it cites.
M. Aizenman, R. Peled, J. Schenker, M. Shamis, S. Sodin, Matrix regularizing effects of Gaussian perturbations
2017
Closest in time.
H. Nguyen, T. Tao and V. Vu, Random matrices: tail bounds for gaps between eigenvalues
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Cited alongside, same era.
A.Maltsev and B. Schlein, Average density of states of Hermitian Wigner matrices
2011
Cited alongside, same era.
H. Nguyen, On the least singular value of random symmetric matrices
2012
Cited alongside, same era.
C. Cacciapuoti, A. Maltsev, B. Schlein, Local Marchenko-Pastur law at the hard edge of sample covariance matrices
2013
Cited alongside, same era.
R. Vershynin, Invertibility of symmetric random matrices
2014
Cited alongside, same era.
J. Bourgain, On a Problem of Farrell and Vershynin in Random Matrix Theory
Cited in the paper.
A. Naor and P Youssef, Restricted invertibility revisited
Cited in the paper.
2017
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M. Rudelson, Delocalization of eigenvectors of random matrices
2017
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T. Tao and V. Vu, Random matrices have simple spectrum
2017
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H. Nguyen, Concentration of distances in Wigner matrices
2018
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2065
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