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arxiv: cond-mat/0109287 · v2 · submitted 2001-09-17 · ❄️ cond-mat.stat-mech · hep-th· nlin.CD· nlin.SI

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Eigenvalue correlations in non-Hermitean symplectic random matrices

E. Kanzieper
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classification ❄️ cond-mat.stat-mech hep-thnlin.CDnlin.SI
keywords randommatricesnon-hermiteansymplecticcomplexcorrelationcorrelationsdetail
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory

    math-ph 2026-03 unverdicted novelty 6.0

    Explicit expressions are proven for higher-order and mixed derivatives of determinant and Pfaffian ratios over Vandermonde determinants in random matrix theory.