Rotationally invariant family of lévy-like random matrix ensembles

Journal of Physics A: Mathematical and Theoretical

Volumn 42, Issue 15, 2009, Pages

  Choi, Jinmyung ^a   Muttalib, K A ^a  

^a University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650720881     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/42/15/152001     Document Type: Article

References (47)

1. Wigner E P 1951 Proc. Camb. Phil. Soc. 47 790
2. Dyson F J 1962 J. Math. Phys. 3 140
3. Mehta M L 1991 Random Matrices 2nd edn (Boston, MA: Academic)
4. For recent reviews and applications see: Guhr T, Mueller-Groeling A and Weidenmueller H 1998 Phys. Rep. 299 189
5. Forrester P J, Snaith N C and Verbaarschot J J M 2003 Special issue: random matrix theory J. Phys. A: Math. Gen. 36 (guest editors)
6. Garcia-Garcia A M and Verbaarschot J J M 2000 Nucl. Phys. B 586 668
7. Garcia-Garcia A M and Osborn J C 2007 Phys. Rev. D 75 034503
8. Osborn J C and Verbaarschot J J M 1998 Phys. Rev. Lett. 81 268
9. Brody T A 1973 Nuovo Cimento Lett. 7 482
10. Berry M V and Tabor M 1977 Proc. R. Soc. Lond. A 356 375
11. Seligman T H, Verbaarschot J J M and Zirnbauer M R 1984 Phys. Rev. Lett. 53 215
12. Berry M V and Robnik M 1984 J. Phys. A: Math. Gen. 17 2413
13. Bogomolny E B et al 1992 Phys. Rev. Lett. 69 1477
14. Crosche C 1992 J. Phys. A: Math. Gen. 25 4573
15. Muttalib K A et al 1993 Phys. Rev. Lett. 71 471
16. Blecken C, Chen Y and Muttalib K A 1994 J. Phys. A: Math. Gen. 27 L563
17. Muttalib K A, Chen Y and Ismail M E H 2001 Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics ed F Garvan and M Ismail (Dordrecht: Kluwer)
18. Kravtsov V E and Muttalib K A 1997 Phys. Rev. Lett. 79 1913
19. Bogomolny E, Bohigas O and Pato M P 1997 Phys. Rev. E 55 6707
20. Nishigaki S M 1999 Phys. Rev. E 59 2853
21. Moshe M, Neuberger H and Shapiro B 1994 Phys. Rev. Lett. 73 1497
22. Mirlin A D et al 1996 Phys. Rev. E 54 3221
23. Mirlin A D and Evers F 2000 Phys. Rev. B 62 7920
24. Altshuler B L et al 1988 Sov. Phys. JETP 67 625
25. Shklovskii B I et al 1993 Phys. Rev. B 47 11487
26. Pichard J-L and Shapiro B 1994 J. Physique 4 623
27. Kravtsov V E et al 1994 Phys. Rev. Lett. 72 888
28. Garcia-Garcia A M and Verbaarschot J J M 2000 Nucl. Phys. B 586 668
29. Szegö G 1975 Orthogonal Polynomials 4th edn (Providence, RI: American Mathematical Society)
30. Ismail M E H 2005 Classical and Quantum Orthogonal Polynomials in One Variable (Cambridge: Cambridge University Press)
31. Cizeau P and Bouchaud J P 1994 Phys. Rev. E 50 1810
32. Laloux L et al 1999 Phys. Rev. Lett. 83 1467
33. Moustakas A et al 2000 Science 287 287
34. Skipetrov S E 2003 Phys. Rev. E 67 036621
35. Goh K-I, Kahng B and Kim D 2001 Phys. Rev. E 64 051903
36. Dorogovtsev S N et al 2003 Phys. Rev. E 68 046109
37. Rodgers G J, Austin K, Kahng B and Kim D 2005 J. Phys. A: Math. Gen. 38 9431
38. Araujo M, Medina E and Aponte E 1999 Phys. Rev. E 60 3580
39. Baiesi M and Paczuski M 2004 Phys. Rev. E 69 066106
40. Altshuler B L and Levitov L S 1997 Phys. Rep. 288 487
41. Garcia-Garcia A M and Wang J 2005 Phys. Rev. Lett. 94 244102
42. Hu B et al 1998 Phys. Rev. Lett. 82 4224
43. Garcia-Garcia A M 2004 Phys. Rev. E 69 244102
44. Burda Z et al 2002 Phys. Rev. E 65 066216
45. Muttalib K A and Ismail Mourad E H 2007 Phys. Rev. E 76 051105
46. Slevin K, Pichard J-L and Muttalib K A 1993 J. Physique (France) I 3 1387
47. Toscano F, Vallejos R O and Tsallis C 2004 Phys. Rev. E 69 066131