Generic critical points of normal matrix ensembles

Journal of Physics A: Mathematical and General

Volumn 39, Issue 28, 2006, Pages 8921-8932

  Teodorescu, Razvan ^a  

^a Department of Earth and Environmental Sciences   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33745519162     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/28/S09     Document Type: Article

References (45)

1. Wigner E P 1951 Ann. Math. 53 36-67
2. Dyson F 1962 J. Math. Phys. 3 140-56
3. Bertola M, Eynard B and Harnad J 2003 Theor. Math. Phys. 134 27-38
4. Bleher P and Its A 2002 Preprint math-ph/0201003
5. Bertola M, Eynard B and Harnad J 2003 J. Phys. A: Math. Gen. 36 3067-84
6. Bertola M, Eynard B and Harnad J 2003 Comm. Math. Phys. 243 193-240
7. Kapaev A 2003 J. Phys. A: Math. Gen. 36 4629-40
8. Bleher P and Its A 2004 Preprint math-ph/0409082
9. Bertola M, Eynard B and Harnad J 2004 Preprint nlin.SI/0410043
10. Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2000 Phys. Rev. Lett. 84 5106
11. Kostov I K, Krichever I, Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2001 MSRI vol 40 (Cambridge: Cambridge University Press) p 285
12. Wiegmann P B and Zabrodin A 2003 J. Phys. A: Math. Gen. 36 3411-24
13. Agam O, Bettelheim E, Wiegmann P B and Zabrodin A 2002 Phys. Rev. Lett. 88 236802
14. Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2005 Nucl. Phys. B 704 407
15. Teodorescu R, Bettelheim E, Agam O, Zabrodin A and Wiegmann P 2004 Nucl. Phys. B 700 521
16. Teodorescu R, Wiegmann P and Zabrodin A 2005 Phys. Rev. Lett. 95 044502
17. Bettelheim E, Wiegmann P and Zabrodin A 2005 Preprint nlin/0505027
18. Wiegmann P B and Zabrodin A 2000 Commun. Math. Phys. 213 523-38
19. Marshakov A, Wiegmann P B and Zabrodin A 2002 Comm. Math. Phys. 227 131-53
20. Krichever I, Marshakov A and Zabrodin A 2003 Preprint hep-th/0309010
21. Fokas A S, Its A R and Kitaev A 1992 Commun. Math. Phys. 147 395-430
22. David F 1993 Phys. Lett. B 302 403-10
23. David F 1992 Preprint hep-th/9212106
24. Di Francesco P, Ginsparg P and Zinn-Justin J 1995 Phys. Rep. 254 1-133
25. Chekhov L and Mironov A 2002 Preprint hep-th/0209085
26. Kazakov V A and Marshakov A 2003 J. Phys. A: Math. Gen. 36 3107-36
27. Dijgraaf R and Vafa C 2002 Preprints hep-th/0208048 hep-th/0206255 hep-th/0207106 hep-th/0302011
28. Hele-Shaw H S S 1898 Nature 58 (no. 1489) 34-36 520
29. Galin L A 1945 Dokl. Akad. Nauk SSSR 47 250-3
30. Polubarinova-Kochina P Ya 1945 Dokl. Akad. Nauk SSSR 47 254-7
31. Kufarev P P 1947 Dokl. Akad. Nauk SSSR 57 335-48
32. Howison S, Lacey A and Ockendon J 1985 Q. J. Mech. Appl. Math. 38 343
33. Howison S 1986 SIAM J. Appl. Math. 46 20
34. Hohlov Y and Howison S 1993 Q. Appl. Math. 51 777
35. Bensimon D, Kadanoff L P, Liang S, Shraiman B I and Tang C 1986 Rev. Mod. Phys. 58 977
36. Chau L and Zaboronsky O 1998 Commun. Math. Phys. 196 203-47
37. Elbau P and Felder G 2004 Preprint math/0406604
38. Ginibre J 1965 J. Math. Phys. 6 440
39. Girko V L 1986 Theor. Probab. Appl. 30 677-90
40. Bargmann V 1961 Commun. Pure Appl. Math. 14 187-214
41. Bargmann V 1962 Proc. Nat. Acad. Sci. USA 48 199-204
42. Orlov A Yu 2005 Acta Appl. Math. 86 131-58
43. Di Francesco P, Gaudin M, Itzykson C and Lesage P 1994 Preprint hep-th/9401163
44. Akemann G 2002 J. Phys. A: Math. Gen. 36 3363
45. Teodorescu R Unpublished