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We consider the least singular value of a large random matrix with real or complex i.i.d.
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Ziliang Che and Patrick Lopatto · 1908
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“Edge Universality for non-Hermitian Random Matrices”
Giorgio Cipolloni, L“’aszl“’o Erdos and Dominik Schr“”oder · 1908
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“Universality for 1D random band matrices”
Mariya Shcherbina and Tatyana Shcherbina · 1910
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“Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices”
Giorgio Cipolloni, L“’aszl“’o Erdos and Dominik Schr“”oder · 1912
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Tatyana Shcherbina · 1947
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“Introduction to superanalysis” Edited and with a foreword by A. A. Kirillov, With an appendix by V. I. Ogievetsky, Translated from the Russian by J. Niederle and R. Kotecký, Translation edited by Dimitri Leĭtes 9
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Jean Ginibre · 1965
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J. Verbaarschot, H. Weidenm“”uller and M. Zirnbauer · 1985
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“Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang”
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Stuart Geman · 1986
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Alan Edelman · 1988
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H. Sompolinsky, A. Crisanti and H.J. Sommers · 1988
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“Eigenvalue statistics of random real matrices”
Nils Lehmann and Hans-J“”urgen Sommers · 1991
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J.J. Verbaarschot and I. Zahed · 1993
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“The probability that a random real Gaussian matrix has k k real eigenvalues, related distributions, and the circular law”
Alan Edelman · 1996
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“An Itzykson-Zuber-like integral and diffusion for complex ordinary and supermatrices”
Thomas Guhr and Tilo Wettig · 1996
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A. Jackson, M. Sener and J. Verbaarschot · 1996
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“Random matrix model of QCD at finite density and the nature of the quenched limit”
M.A. Stephanov · 1996
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“Circular law”
Z.. Bai · 1997
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Konstantin Efetov · 1997
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“Universal spectral correlations of the Dirac operator at finite temperature”
Thomas Guhr and Tilo Wettig · 1997
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E. Br“’ezin and S. Hikami · 1998
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“Eigenvector Statistics in Non-Hermitian Random Matrix Ensembles”
J.. Chalker and B. Mehlig · 1998
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“Microscopic spectrum of the QCD Dirac operator with finite quark masses”
T. Wilke, T. Guhr and T. Wettig · 1998
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J.C. Osborn, D. Toublan and J.J.M. Verbaarschot · 1999
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“Universality at the edge of the spectrum in Wigner random matrices”
“Supersymmetry”
Thomas Guhr · 2011
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“On the correlation function of the characteristic polynomials of the Hermitian Wigner ensemble”
Tatyana Shcherbina · 2011
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“Random banded and sparse matrices”
Thomas Spencer · 2011
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“No eigenvalues outside the support of the limiting spectral distribution of information-plus-noise type matrices”
Zhidong Bai and Jack. Silverstein · 2012
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Charles Bordenave and Djalil Chafa“” · 2012
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“Rank 1 real Wishart spiked model”
M.. Mo · 2012
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Alexander Soshnikov · 1999
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“Random Matrix Theory and Chiral Symmetry in QCD”
J.J.M. Verbaarschot and T. Wettig · 2000
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“Fluctuation around the circular law for random matrices with real entries”
Giorgio Cipolloni, L“’aszl“’o Erdos and Dominik Schr“”oder · 2002
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“Density of states for random band matrices”
M. Disertori, H. Pinson and T. Spencer · 2002
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“Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential”
G. Akemann, J. Osborn, K. Splittorff and J. Verbaarschot · 2005
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“Universality of local eigenvalue statistics for some sample covariance matrices”
G. Ben and S. P“’ech“’e · 2005
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“Asymptotic correlations for Gaussian and Wishart matrices with external source”
Patrick Desrosiers and Peter. Forrester · 2006
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“Supersymmetry approach to Wishart correlation matrices: Exact results”
Christian Recher, Mario Kieburg, Thomas Guhr and Martin Zirnbauer · 2012
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T. Shcherbina · 2013
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“Superbosonization via Riesz superdistributions”
Alexander Alldridge and Zain Shaikh · 2014
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“Edge universality of beta ensembles”
Paul Bourgade, L“’aszl“’o Erdos and Horng-Tzer Yau · 2014
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“Transfer matrix approach to 1D random band matrices: Density of states”
Mariya Shcherbina and Tatyana Shcherbina · 2016
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“Delocalization for a class of random block band matrices”
Zhigang Bao and L“’aszl“’o Erdos · 2017
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“Density of states for random band matrices in two dimensions”
Margherita Disertori and Mareike Lager · 2017
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“Characteristic polynomials for 1D random band matrices from the localization side”
Mariya Shcherbina and Tatyana Shcherbina · 2017
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“Invertibility via distance for non-centered random matrices with continuous distributions”
Konstantin Tikhomirov · 2017
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“On the spectral radius of a random matrix: An upper bound without fourth moment”
Charles Bordenave, Pietro Caputo, Djalil Chafa“” and Konstantin Tikhomirov · 2018
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“Lower bounds for the smallest singular value of structured random matrices”
Nicholas Cook · 2018
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“The density of states of 1D random band matrices via a supersymmetric transfer operator”
Margherita Disertori, Martin Lohmann and Sasha Sodin · 2018
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“Power law decay for systems of randomly coupled differential equations”
L“’aszl“’o Erdos, Torben Kr“”uger and David Renfrew · 2018
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“On statistics of bi-orthogonal eigenvectors in real and complex Ginibre ensembles: combining partial Schur decomposition with supersymmetry”
Yan. Fyodorov · 2018
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“On characteristic polynomials for a generalized chiral random matrix ensemble with a source”
Yan. Fyodorov, Jacek Grela and Eugene Strahov · 2018
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“On the correlation functions of the characteristic polynomials of non-Hermitian random matrices with independent entries”
Ie. Afanasiev · 2019
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Oskari. Ajanki, L“’aszl“’o Erdos and Torben Kr“”uger · 2019
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“Universality of the least singular value for sparse random matrices”
Ziliang Che and Patrick Lopatto · 2019
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