Asymptotic corrections to the eigenvalue density of the GUE and LUE

Journal of Mathematical Physics

Volumn 46, Issue 10, 2005, Pages

  Garoni, T M ^a   Forrester, P J ^b   Frankel, N E ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844544290     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2035028     Document Type: Article

References (20)

1. P. J. Forrester, Log-Gases and Random Matrices, URL http://www.ms.unimelb.edu.au/~matpjf/matpjf.html.
2. M. L. Mehta, Random Matrices (Academic, New York, 1991).
3. P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach, Courant Lecture Notes in Mathematics Vol. 3 (Courant Institute of Mathematical Sciences, New York, NY 1999).
4. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Commun. Math. Phys. 238, 257 (2003).
5. P. J. Forrester and N. E. Frankel, J. Math. Phys. 45, 2003 (2004).
6. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Phys. Rev. A 67, 043607 (2003).
7. T. M. Garoni, J. Math. Phys. 46, 043516 (2005).
8. I. V. Krasovsky, math-ph/0411016.
9. E. Bŕzin, C. Itzykson, G. Parisi, and J. Zuber, Commun. Math. Phys. 59, 35 (1978).
10. P. Di Francesco, Nucl. Phys. B 648, 461 (2002).
11. F. Kalisch and D. Braak, J. Phys. A 35, 9957 (2002).
12. P. J. Forrester, Nucl. Phys. B 402, 709 (1993).
13. G. Szegö, Orthogonal Polynomials (American Mathematical Society, Providence, RI, 1967).
14. M. Plancherel and W. Rotach, Comment. Math. Helv. 1, 227 (1929).
15. E. Moecklin, Comment. Math. Helv. 7, 24 (1934).
16. R. Wong, Asymptotic Approximations of Integrals (Academic, New York, 1989).
17. F. W. J. Olver, Asymptotics and Special Functions (Academic, New York, 1974).
18. J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Y. Makeenko, Nucl. Phys. B 0550-3213 10.1016/0550-3213(93)90476-6 404, 127 (1993); J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Y. Makeenko, Nucl. Phys. B 449, 681 (1995).
19. J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Y. Makeenko, Nucl. Phys. B 0550-3213 10.1016/0550-3213(93)90476-6 404, 127 (1993); J. Ambjørn, L. Chekhov, C. F. Kristjansen, and Y. Makeenko, Nucl. Phys. B 449, 681 (1995).
20. J. Ambjørn, C. F. Kristjansen, and Y. M. Makeenko, Mod. Phys. Lett. A 7, 3187 (1992).