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Eigenvalue correlations in non-Hermitean symplectic random matrices

E. Kanzieper
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Abstract

Correlation function of complex eigenvalues of N by N random matrices drawn from non-Hermitean random matrix ensemble of symplectic symmetry is given in terms of a quaternion determinant. Spectral properties of Gaussian ensembles are studied in detail in the regimes of weak and strong non-Hermiticity.

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E. Kanzieper. 2002-06-21. Eigenvalue correlations in non-Hermitean symplectic random matrices. https://doi.org/10.1088/0305-4470%2F35%2F31%2F308

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