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We give a closed form for the correlation functions of ensembles of asymmetric real matrices in terms of the Pfaffian of an antisymmetric matrix formed from a $2 \times 2$ matrix kernel associated to the ensemble.
On some multiple integrals involving determinants
N. G. de Bruijn · 1955
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Statistical ensembles of complex, quaternion, and real matrices
Jean Ginibre · 1965
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The circular law
V. L. Girko · 1984
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Nonintersecting paths, Pfaffians, and plane partitions
John R. Stembridge · 1990
Earlier work this paper cites.
Asymptotics for the zeros of the partial sums of e z e^{z} . I
A. J. Carpenter, R. S. Varga, and J. Waldvogel · 1991
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Eigenvalue statistics of random real matrices
N. Lehmann and H.-J. Sommers · 1991
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Circular law
Z. D. Bai · 1997
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Eugene Kanzieper and Gernot Akemann · 2005
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The range of multiplicative functions on ℂ [ x ] , ℝ [ x ] \mathbb{C}[x],\mathbb{R}[x] and ℤ [ x ] \mathbb{Z}[x] , 2005
Christopher D. Sinclair · 2005
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Integrable structure of Ginibre’s ensemble of real random matrices and a pfaffian integration theorem, 2007
Garnot Akemann and Eugene Kanzieper · 2007
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Eigenvalue statistics of the real Ginibre ensemble, 2007
Peter J. Forrester and Taro Nagao · 2007
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Averages over Ginibre’s ensemble of random real matrices
Christopher D Sinclair · 2007
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Random Matrices: The circular Law
T. Tao and V. Vu · 2007
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