Gap probabilities in non-Hermitian random matrix theory

Journal of Mathematical Physics

Volumn 50, Issue 6, 2009, Pages

  Akemann, G ^a   Phillips, M J ^a   Shifrin, L ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 67650494719     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3133108     Document Type: Article

References (23)

1. J. Ginibre, J. Math. Phys. 0022-2488 6, 440 (1965). 10.1063/1.1704292
2. Y. V. Fyodorov and H. -J. Sommers, J. Phys. A 0305-4470 36, 3303 (2003). 10.1088/0305-4470/36/12/326
3. G. Akemann and E. Kanzieper, J. Stat. Phys. 0022-4715 129, 1159 (2007) 10.1007/s10955-007-9381-2; H. -J. Sommers, J. Phys. A 0305-4470 40, F671 (2007) 10.1088/1751-8113/40/29/F03; P. J. Forrester and T. Nagao, Phys. Rev. Lett. 0031-9007 99, 050603 (2007) 10.1103/PhysRevLett.99.050603; A. Borodin and C. D. Sinclair, arXiv:math-ph/0706.2670v2; arXiv:math-ph/0805.2986; P. J. Forrester and T. Nagao, J. Phys. A 0305-4470 41, 375003 (2008) 10.1088/1751-8113/41/37/ 375003; H. -J. Sommers and W. Wieczorek, J. Phys. A 0305-4470 41, 405003 (2008) 10.1088/1751-8113/41/40/405003; G. Akemann, M. J. Phillips, and H. -J. Sommers, J. Phys. A: Math. Theor. 1751-8113 42, 012001 (2009). 10.1088/1751-8113/42/1/ 012001
4. G. Akemann, J. Bloch, L. Shifrin and T. Wettig, Phys. Rev. Lett. 0031-9007 100, 032002 (2008). 10.1103/PhysRevLett.100.032002
5. R. Grobe, F. Haake, and H. -J. Sommers, Phys. Rev. Lett. 0031-9007 61, 1899 (1988). 10.1103/PhysRevLett.61.1899
6. M. L. Mehta, Random Matrices, 3rd ed. (Academic, London, 2004).
7. J. C. Osborn, Phys. Rev. Lett. 0031-9007 93, 222001 (2004). 10.1103/PhysRevLett.93.222001
8. G. Akemann, Nucl. Phys. B 0550-3213 730, 253 (2005). 10.1016/j.nuclphysb. 2005.09.039
9. G. Akemann, Int. J. Mod. Phys. A 0217-751X 22, 1077 (2007). 10.1142/S0217751X07036154
10. H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 0031-9007 83, 484 (1999). 10.1103/PhysRevLett.83.484
11. J. des Cloizeaux and M. L. Mehta, J. Math. Phys. 0022-2488 14, 1648 (1973). 10.1063/1.1666239
12. I. Krasovsky, Int. Math. Res. Notices 1073-7928 2004, 1249 (2004) 10.1155/S1073792804140221; T. Ehrhardt, Commun. Math. Phys. 0010-3616 262, 317 (2006). 10.1007/s00220-005-1493-4
13. P. Forrester, Phys. Lett. A 0375-9601 169, 21 (1992). 10.1016/0375-9601(92)90798-Q
14. H. -J. Sommers, A. Crisanti, H. Sompolinsky, and Y. Stein, Phys. Rev. Lett. 0031-9007 60, 1895 (1988). 10.1103/PhysRevLett.60.1895
15. Y. V. Fyodorov, B. A. Khoruzhenko, and H. -J. Sommers, Phys. Lett. A 0375-9601 226, 46 (1997) 10.1016/S0375-9601(96)00904-8; Y. V. Fyodorov, B. A. Khoruzhenko, and H. -J. Sommers, Phys. Rev. Lett. 0031-9007 79, 557 (1997). 10.1103/PhysRevLett.79.557
16. Y. V. Fyodorov, B. A. Khoruzhenko, and H. -J. Sommers, Ann. I.H.P. Phys. Theor. 68, 449 (1998).
17. E. Kanzieper, J. Phys. A 0305-4470 35, 6631 (2002). 10.1088/0305-4470/35/ 31/308
18. G. Akemann, J. C. Osborn, K. Splittorff, and J. J. M. Verbaarschot, Nucl. Phys. B 0550-3213 712, 287 (2005). 10.1016/j.nuclphysb.2005.01.018
19. G. Akemann and P. H. Damgaard, Phys. Lett. B 0370-2693 583, 199 (2004). 10.1016/j.physletb.2003.12.024
20. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 6th ed. (Academic, London, 2000).
21. G. Akemann, J. Phys. A 0305-4470 36, 3363 (2003). 10.1088/0305-4470/36/ 12/328
22. G. Oas, Phys. Rev. E 1063-651X 55, 205 (1997). 10.1103/PhysRevE.55.205
23. M. Abramowitz and I. E. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).