2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130224We give a simple derivation of all $n$-point densities for the eigenvalues of the real Ginibre ensemble with even dimension $N$ as quaternion determinants. A very simple symplectic kernel governs both, the real and complex correlations. 1-and-2-point correlations are discussed in more detail. Scaling forms for large dimension $N$ are derived.Latex, 7 pagesStatistical MechanicsSymplectic Structure of the Real Ginibre Ensembletext