Characteristic polynomials in real Ginibre ensembles

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 1, 2009, Pages

  Akemann, G ^a   Phillips, M J ^a   Sommers, H J ^b  

^a BRUNEL UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 64549120172     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/1/012001     Document Type: Article

References (27)

1. Ginibre J 1965 J. Math. Phys. 6 440
2. Sompolinsky H, Crisanti A and Sommers H-J 1988 Phys. Rev. Lett. 61 259
3. Efetov K B 1997 Phys. Rev. Lett. 79 491 (arXiv:cond-mat/9702091)
4. Halasz M A, Osborn J C and Verbaarschot J J M 1997 Phys. Rev. D 56 7059 (arXiv:hep-lat/9704007)
5. Kwapien J, Drozdz S, Gorski A Z and Oswiecimka F 2006 Acta Phys. Pol. B 37 3039
6. Bruzda W, Cappelini V, Sommers H-J and yczkowski k arXiv:0804.2361 [quant-ph]
7. Sommers H-J, Crisanti A, Sompolinsky H and Stein Y 1988 Phys. Rev. Lett. 60 1895
8. Edelman A, Kostlan E and Shub M 1994 J. Am. Math. Soc. 7 247
9. Lehmann N and Sommers H-J 1991 Phys. Rev. Lett. 67 941
10. Edelman A 1997 J. Multivariate Anal. 60 203
11. Kanzieper E and Akemann G 2005 Phys. Rev. Lett. 95 230201 (arXiv:math-ph/0507058)
12. Sinclair C D 2007 Int. Math. Res. Not. 2007 rnm015 (arXiv:math-ph/ 0605006)
13. Akemann G and Kanzieper E 2007 J. Stat. Phys. 129 1159 (arXiv:math-ph/0703019)
14. Sommers H-J 2007 J. Phys. A: Math. Theor. 40 F671 (arXiv:0706.1671)
15. Forrester P J and Nagao T 2007 Phys. Rev. Lett. 99 050603 (arXiv:0706.2020) [cond-mat.stat-mech]
16. Borodin A and Sinclair C D 2007 arXiv:0706.2670v2 [math-ph]
17. Borodin A and Sinclair C D 2008 arXiv:0805.2986 [math-ph]
18. Forrester P J and Nagao T 2008 J. Phys. A: Math. Theor. 41 375003 (arXiv:0806.0055) [math-ph]
19. Sommers H-J and Wieczorek W 2008 J. Phys. A: Math. Theor. 41 405003 (arXiv:0806.2756) [cond-mat.stat-mech]
20. Forrester P J and Mays A 2008 arXiv:0809.5116 [math-ph]
21. Akemann G and Basile F 2007 Nucl. Phys. B 766 150 (arXiv:math-ph/0606060)
22. Akemann G and Vernizzi G 2003 Nucl. Phys. B 660 532 (arXiv:hep-th/ 0212051)
23. Osborn J C 2004 Phys. Rev. Lett. 93 222001 (arXiv:hep-th/0403131)
24. Akemann G 2005 Nucl. Phys. B 730 253 (arXiv:hep-th/0507156)
25. Magnea U 2008 J. Phys. A: Math. Theor. 41 045203 (arXiv:0707.0418v2 [math-ph])
26. Fyodorov Y V, Khoruzhenko B A and Sommers H-J 1998 Ann. Inst. Henri Poincaré 68 449 (arXiv:chao-dyn/9802025)
27. Kanzieper E 2002 J. Phys. A: Math. Gen. 35 6631 (arXiv:cond-mat/0109287)