2007/07/31 by Alexei Borodin, Eugene Kanzieper
Mathematics · Physics and Astronomy · #Holomorphic and Operator Theory #Mathematical functions and polynomials #Spectral Theory in Mathematical Physics #cond-mat.dis-nn #hep-th #math-ph #math.MP #math.PR #nlin.SI
paper · pdf · doi:10.1088/1751-8113/40/36/f01
published as J. Phys. A: Math. Theor. 40 (2007) F849-F855 · 8 pages; published version
openalex publication_date 2007/08/21 · arxiv created 2007/08/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Two alternative, fairly compact proofs are presented of the Pfaffian integration theorem that 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.