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We extend our recent result [Cipolloni, Erd\H{o}s, Schr\"oder 2019] on the central limit theorem for the linear eigenvalue statistics of non-Hermitian matrices $X$ with independent, identically distributed complex entries to the real symmetry class.
“Spectral radius of random matrices with independent entries”
Johannes Alt, L\’aszl\’o Erdos and Torben Kr\"uger · 1907
Earlier work this paper cites.
“Universality of the least singular value for the sum of random matrices”
Ziliang Che and Patrick Lopatto · 1908
Earlier work this paper cites.
“Central limit theorem for linear eigenvalue statistics of non-Hermitian random matrices”
Giorgio Cipolloni, L\’aszl\’o Erdos and Dominik Schr\"oder · 1912
Earlier work this paper cites.
“Quantitative Universality for the Largest Eigenvalue of Sample Covariance Matrices”
Haoyu Wang · 1912
Earlier work this paper cites.
“Statistical ensembles of complex, quaternion, and real matrices”
Jean Ginibre · 1965
Earlier work this paper cites.
“The circular law”
V.. Girko · 1984
Earlier work this paper cites.
“Limiting behavior of the norm of products of random matrices and two problems of Geman-Hwang”
Z.. Bai and Y.. Yin · 1986
Earlier work this paper cites.
“The spectral radius of large random matrices”
Stuart Geman · 1986
Earlier work this paper cites.
“Brownian motion and stochastic calculus” 113
Ioannis Karatzas and Steven. Shreve · 1988
Earlier work this paper cites.
“The spectrum edge of random matrix ensembles”
P.. Forrester · 1993
Earlier work this paper cites.
“How many eigenvalues of a random matrix are real?”
Alan Edelman, Eric Kostlan and Michael Shub · 1994
Earlier work this paper cites.
“The probability that a random real Gaussian matrix has k k real eigenvalues, related distributions, and the circular law”
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Earlier work this paper cites.
“Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters”
N.. Temme · 1996
Earlier work this paper cites.
“Circular law”
Z.. Bai · 1997
Earlier work this paper cites.
“Fluctuation formula for complex random matrices”
P.. Forrester · 1999
Earlier work this paper cites.
Yiting Li and Yuanyuan Xu · 2001
Earlier work this paper cites.
“Foundations of modern probability”, Probability and its Applications (New York)
Olav Kallenberg · 2002
Earlier work this paper cites.
“Deviations from the circular law”
B. Rider · 2004
Earlier work this paper cites.
“Universality of local eigenvalue statistics for some sample covariance matrices”
G. Ben and S. P\’ech\’e · 2005
Earlier work this paper cites.
“Statistics of real eigenvalues in Ginibre’s ensemble of random real matrices”
Eugene Kanzieper and Gernot Akemann · 2005
Earlier work this paper cites.
“Gaussian fluctuations for non-Hermitian random matrix ensembles”
B. Rider and Jack. Silverstein · 2006
Earlier work this paper cites.
“Complex determinantal processes and H 1 H^{1} noise”
Brian Rider and B\’alint Vir\’ag · 2007
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