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cond-mat.stat-mech2008★ 45 cited
General Eigenvalue Correlations for the Real Ginibre Ensemble
Hans-Jürgen Sommers, Waldemar Wieczorek
We rederive in a simplified version the Lehmann-Sommers eigenvalue distribution for the Gaussian ensemble of asymmetric real matrices, invariant under real orthogonal transformatio…
cond-mat.stat-mech2007★ 3 cited
Symplectic Structure of the Real Ginibre Ensemble
Hans-Jürgen Sommers
We give a simple derivation of all -point densities for the eigenvalues of the real Ginibre ensemble with even dimension as quaternion determinants. A very simple symplectic…