Eigenvalue correlations in non-Hermitean symplectic random matrices

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.

14 pages

References in corpus (1)

• Replica treatment of non-Hermitian disordered Hamiltonians

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