Characteristic polynomials of real symmetric random matrices

Communications in Mathematical Physics

Volumn 223, Issue 2, 2001, Pages 363-382

  Brezin E ^a   Hikami, S ^b  

^a ECOLE NORMALE SUPÉRIEURE   (France)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035540541     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100547     Document Type: Article

References (24)

1. 1. Dyson, F.J.: Commun. Math. Phys. 19, 235 (1970)
2. 2. Dyson, F.J.: J. Math. Phys. 13, 90 (1972)
3. 3. Mehta, M.L.: Random matrices. 2nd ed., New York: Academic, 1991
4. 4. Brézin, E. and Hikami, S.: Commun. Math. Phys. 214, 111 (2000)
5. 5. Brézin, E. and Hikami, S.: Physica A 279, 333 (2000)
6. 6. Brézin, E. and Hikami, S.: Phys. Rev. E 62, 3558 (2000)
7. 7. Mehta, M.L. and Normand, J.-M.: Preprint (2001)
8. 8. Forrester, P.J.: Nucl. Phys. B 388, (1992) 671
9. 9. Aomoto, K.: In: Advanced Studies in Pure Mathematics 16. edited by H. Morikawa, Tokyo, Kinokuniya Company, 1988, pp. 1-16
10. 10. Kaneko, J.: SIAM J. Math. Anal. 24, 1086 (1993)
11. 11. Baker, T.H. and Forrester, P.J.: Commun. Math. Phys. 188, 175 (1997)
12. 12. Guhr, T. and Kohler, H.: Preprint math-ph/0011007
13. 13. Keating, J. and Snaith, N.: Commun. Math. Phys. 214, 57 (2000)
14. 14. Conrey, J.B. and Farmer, D.W.: Int. Math. Res. Notices 17, 883 (2000)
15. 15. Brézin, E. and Hikami, S.: Phys. Rev. E 56, 264 (1997)
16. 16. Brézin, E., Itzykson, C., Parisi, G. and Zuber, J.-B.: Commun. Math. Phys. 59, 35 (1978)
17. 17. Brézin, E. and Hikami, S.: Phys. Rev. E 57, 4140 (1998)
18. 18. Marinari, E., Parisi, G. and Ritort, F.: J. Phys. A 27, 7647 (1994); Parisi, G. and Potters, M.: J. Phys. A 28, 5267 (1995)
19. 18. Marinari, E., Parisi, G. and Ritort, F.: J. Phys. A 27, 7647 (1994); Parisi, G. and Potters, M.: J. Phys. A 28, 5267 (1995)
20. 19. Harish-Chandra: Proc. Nat. Acad. Sci. 42, 252 (1956)
21. 20. Itzykson, C. and Zuber, J.-B.: J. Math. Phys. 21, 411 (1980)
22. 21. Brézin, E.: Two dimensional quantum gravity and random surfaces. edited by D.J. Gross, T. Piran and S. Weinberg, Singapore: World Scientific, 1992, p. 37
23. 22. Brézin, E., Hikami, S. and Larkin, A.I.: Phys. Rev. B 60, 3589 (1999)
24. 23. Duistermaat, J.J. and Heckman, G.H.: Invent. Math. 69, 259 (1982)