A Note on the Pfaffian Integration Theorem

Abstract

Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that is surfaced in the recent studies of spectral properties of Ginibre's Orthogonal Ensemble. The first proof is based on a concept of the Fredholm Pfaffian; the second proof is purely linear-algebraic.

8 pages; published version

References in corpus (2)

• Correlation Functions, Cluster Functions and Spacing Distributions for Random Matrices
• Statistics of Real Eigenvalues in Ginibre's Ensemble of Random Real Matrices

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