Symplectic Structure of the Real Ginibre Ensemble

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dc.creatorSommers, Hans-Jürgen
dc.date2007-06-12
dc.date.accessioned2026-07-07T08:05:15Z
dc.date.available2026-07-07T08:05:15Z
dc.descriptionWe 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.
dc.descriptionLatex, 7 pages
dc.identifierhttps://arxiv.org/abs/0706.1671
dc.identifierhttp://arxiv.org/abs/0706.1671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130224
dc.subjectStatistical Mechanics
dc.titleSymplectic Structure of the Real Ginibre Ensemble
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