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We consider large non-Hermitian real or complex random matrices $X$ with independent, identically distributed centred entries.
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Johannes Alt, L\’aszl\’o Erdos and Torben Kr\"uger · 1907
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“Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble”
Giorgio Cipolloni, L\’aszl\’o Erdos and Dominik Schr\"oder · 1908
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“The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic”
T. Pearcey · 1946
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“A Brownian-motion model for the eigenvalues of a random matrix”
Freeman. Dyson · 1962
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Jean Ginibre · 1965
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M.. Mehta · 1967
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Z.. Bai and Y.. Yin · 1986
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Stuart Geman · 1986
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Nils Lehmann and Hans-J\"urgen Sommers · 1991
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Alan Edelman, Eric Kostlan and Michael Shub · 1994
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Alan Edelman · 1996
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Craig. Tracy and Harold Widom · 1996
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“Circular law”
Z.. Bai · 1997
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“Universality at the edge of the spectrum in Wigner random matrices”
Alexander Soshnikov · 1999
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“Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices”
Kurt Johansson · 2001
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“On the edge universality of the local eigenvalue statistics of matrix models”
L. Pastur and M. Shcherbina · 2003
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“Statistics of real eigenvalues in Ginibre’s ensemble of random real matrices”
Eugene Kanzieper and Gernot Akemann · 2005
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Craig. Tracy and Harold Widom · 2006
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“Eigenvalue statistics of the real Ginibre ensemble”
P.J. Forrester and T. Nagao · 2007
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“Bulk universality and related properties of Hermitian matrix models”
L. Pastur and M. Shcherbina · 2008
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“General eigenvalue correlations for the real Ginibre ensemble”
Hans-J\"urgen Sommers and Waldemar Wieczorek · 2008
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“Random matrices: The circular law”
Terence Tao and Van Vu · 2008
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“The Ginibre ensemble of real random matrices and its scaling limits”
A. Borodin and C.. Sinclair · 2009
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“Bulk universality for Wigner matrices”
L\’aszl\’o Erdos, Sandrine P\’ech\’e, Jos\’e. Ram\’rez, Benjamin Schlein and Horng-Tzer Yau · 2010
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“Tracy-Widom distribution for the largest eigenvalue of real sample covariance matrices with general population”
Ji Lee and Kevin Schnelli · 2016
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“Bulk universality for deformed Wigner matrices”
Ji Lee, Kevin Schnelli, Ben Stetler and Horng-Tzer Yau · 2016
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“Universality for general Wigner-type matrices”
Oskari. Ajanki, L\’aszl\’o Erdos and Torben Kr\"uger · 2017
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“Universality for a class of random band matrices”
Paul Bourgade, L\’aszl\’o Erdos, Horng-Tzer Yau and Jun Yin · 2017
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“Universality for random matrix flows with time-dependent density”
L\’aszl\’o Erdos and Kevin Schnelli · 2017
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“A dynamical approach to random matrix theory” 28
L\’aszl\’o Erdos and Horng-Tzer Yau · 2017
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Sasha Sodin · 2010
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“Smooth analysis of the condition number and the least singular value”
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L\’aszl\’o Erdos, Benjamin Schlein and Horng-Tzer Yau · 2011
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Benjamin Landon and Horng-Tzer Yau · 2017
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Johannes Alt, L\’aszl\’o Erdos and Torben Kr\"uger · 2018
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Yan. Fyodorov · 2018
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“Local law and Tracy-Widom limit for sparse random matrices”
Ji Lee and Kevin Schnelli · 2018
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Oskari. Ajanki, L\’aszl\’o Erdos and Torben Kr\"uger · 2019
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