A Note on the Pfaffian Integration Theorem
Mathematical Physics
2007-08-22 v2 Disordered Systems and Neural Networks
High Energy Physics - Theory
math.MP
Probability
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.0707.2784,
title = {A Note on the Pfaffian Integration Theorem},
author = {Alexei Borodin and Eugene Kanzieper},
journal= {arXiv preprint arXiv:0707.2784},
year = {2007}
}
Comments
8 pages; published version