A note on the Pfaffian integration theorem

被引：13

作者：

Borodin, Alexei ^{[1
]}

Kanzieper, Eugene

机构：

[1] CALTECH, Dept Math, Pasadena, CA 91125 USA

[2] HIT, Dept Appl Math, IL-58102 Holon, Israel

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 36期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1088/1751-8113/40/36/F01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：F849 / F855

页数：7

共 12 条

[1]

AKEMANN G, 2007, UNPUB J STAT PHYS

[2]

[Anonymous], MATHCO0006097

[3]

[Anonymous], 1995, LINEAR MULTILINEAR A, DOI DOI 10.1080/03081089508818403

[4]

de Bruijn N. G., 1955, J. Indian Math. Soc., V19, P133, DOI DOI 10.18311/JIMS/1955/17010.31