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We study the real eigenvalue statistics of products of independent real Ginibre random matrices.
Sur une propriété de la loi de Gauß
J. Marcinkiewicz · 1939
Earlier work this paper cites.
Statistical ensembles of complex, quaternion, and real matrices
J. Ginibre · 1965
Earlier work this paper cites.
The charge fluctuations in classical Coulomb systems
Ph. A. Martin and T. Yalcin · 1980
Earlier work this paper cites.
Central limit theorems for point processes
Gail Ivanoff · 1982
Earlier work this paper cites.
An introduction to the theory of point processes
D. J. Daley and D. Vere-Jones · 1988
Earlier work this paper cites.
Eigenvalue statistics of random real matrices
N. Lehmann and H-J. Sommers · 1991
Earlier work this paper cites.
How many eigenvalues of a random matrix are real?
A. Edelman, E. Kostlan, and M. Shub · 1994
Earlier work this paper cites.
Level-spacing distributions and the Airy kernel
C. A. Tracy and H. Widom · 1994
Earlier work this paper cites.
On orthogonal and symplectic matrix ensembles
C. A. Tracy and H. Widom · 1996
Earlier work this paper cites.
Universality in the random matrix spectra in the regime of weak non-Hermiticity
Y. V. Fyodorov, H-J. Sommers, and B. A. Khoruzhenko · 1998
Earlier work this paper cites.
The central limit theorem for local linear statistics in classical compact groups and related combinatorial identities
A. Soshnikov · 2000
Earlier work this paper cites.
Random matrices
Madan Lal Mehta · 2004
Earlier work this paper cites.
On the zero attractor of the Euler polynomials
R. Boyer and W. Goh · 2007
Earlier work this paper cites.
Eigenvalue Statistics of the Real Ginibre Ensemble
P. J. Forrester and T. Nagao · 2007
Earlier work this paper cites.
Averages over Ginibre’s ensemble of random real matrices
C. D. Sinclair · 2007
Earlier work this paper cites.
Skew orthogonal polynomials and the partly symmetric real Ginibre ensemble
P. J. Forrester and T. Nagao · 2008
Earlier work this paper cites.
General eigenvalue correlations for the Ginibre ensemble
H-J. Sommers and W. Wieczorek · 2008
Earlier work this paper cites.
The Ginibre ensemble of real random matrices and its scaling limits
A. Borodin and C. D. Sinclair · 2009
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An introduction to random matrices
G. W. Anderson, A. Guionnet, and O. Zeitouni · 2010
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Spectrum of the product of independent random Gaussian matrices
Z. Burda, R. A. Janik, and B. Waclaw · 2010
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The limiting Kac random polynomial and truncated random orthogonal matrices
P. J. Forrester · 2010
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Truncations of random orthogonal matrices
B. A. Khoruzhenko, H-J. Sommers, and K. Życzkowski · 2010
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Pfaffian formulae for one dimensional coalescing and annihilating systems
R. Tribe and O. Zaboronski · 2011
Universality for products of random matrices I: Ginibre and truncated unitary cases
D-Z. Liu and Y. Wang · 2016
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Bulk and soft-edge universality for singular values of products of Ginibre random matrices
D-Z. Liu, D. Wang, and L. Zhang · 2016
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On the distribution of the largest real eigenvalue for the real Ginibre ensemble
M. Poplavskyi, R. Tribe, and O. Zaboronski · 2017
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Central limit theorems for the real eigenvalues of large Gaussian random matrices
N. Simm · 2017
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On the real spectrum of a product of Gaussian matrices
N. Simm · 2017
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The probability that all eigenvalues are real for products of truncated real orthogonal random matrices
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Universal microscopic correlation functions for products of independent Ginibre matrices
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Recent exact and asymptotic results for products of independent random matrices
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