A Note on the Pfaffian Integration Theorem

Details A Note on the Pfaffian Integration Theorem A Note on the Pfaffian Integration Theorem

2007-07-18

arxiv.org/abs/0707.2784v2

J. Phys. A: Math. Theor. 40 (2007) F849-F855

Physics

Mathematical Physics

8 pages; published version

Scientific paper

10.1088/1751-8113/40/36/F01

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.

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