Eigenvalue correlations in non-Hermitean symplectic random matrices
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- 25 July 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (31) , 6631-6644
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.Keywords
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