A note on the Pfaffian integration theorem

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 36, 2007, Pages

  Borodin, Alexei ^a   Kanzieper, Eugene ^b  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b HOLON INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548211294     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/36/F01     Document Type: Article

References (12)

1. Akemann G and Kanzieper E 2007 Integrable structure of Ginibre's ensemble of real random matrices and a Pfaffian integration theorem Preprint math-ph/0703019 (J. Stat. Phys. submitted)
2. de Bruijn N G 1955 On some multiple integrals involving determinants J. Indian Math. Soc. 19 133
3. Dyson F J 1970 Correlations between eigenvalues of a random matrix Commun. Math. Phys. 19 235
4. Edelman A 1997 The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law J. Multivar. Anal. 60 203
5. Ginibre J 1965 Statistical ensembles of complex, quaternion, and real matrices J. Math. Phys. 19 133
6. Ishikawa M and Wakayama M 1995 Minor summation formula of Pfaffians Linear Multilinear Algebra 39 285
7. Ishikawa M and Wakayama M 2000 Minor summation formulas of Pfaffians, survey and a new identity Adv. Stud. Pure Math. 28 133
8. Kanzieper E and Akemann G 2005 Statistics of real eigenvalues in Ginibre's ensemble of random real matrices Phys. Rev. Lett. 95 230201
9. Macdonald I G 1998 Symmetric Functions and Hall Polynomials (Oxford: Oxford University Press)
10. Mahoux G and Mehta M L 1991 A method of integration over matrix variables J. Phys. I (France) 1 1093
11. Rains E M 2000 Correlation functions for symmetrized increasing subsequences Preprint math.CO/0006097
12. Tracy C A and Widom H 1998 Correlation functions, cluster functions and spacing distributions for random matrices J. Stat. Phys. 92 809