Distribution of eigenvalues of certain matrix ensembles

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 6, 1997, Pages 6707-6718

  Bogomolny, E ^a   Bohigas, O ^a   Pato, M P ^a  

^a Division de Physique Théorique   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5544221144     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.6707     Document Type: Article

References (23)

1. Statistical Theories of Spectra: Fluctuations, edited by C.E. Porter (Academic, New York, 1965).
2. O. Bohigas, M J. Giannoni and C. Schmit, J. Phys. Lett.45, L1015 (1984).
3. O. Bohigas, M J. Giannoni and C. Schmit, Phys. Rev. Lett.52, 1 (1984).
4. M L. Mehta, Random Matrices, 2nd ed. (Academic, New York, 1991).
5. O. Bohigas, in Chaos and Quantum Physics, Proceedings of Les Houches Summer School of Theoretical Physics, Les Houches, 1989, edited by M.J. Giannoni, A. Voros, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
6. M V. Berry and M. Tabor, Proc. R. Soc. London A356, 375 (1977).
7. G. Mahoux and M L. Mehta, J. Phys.I, 1093 (1991).
8. G. Szego, OrthogonalfPolynomials (American Mathematical Society, Providence, 1966).
9. L A. Pastur, Lett. Math. Phys.25, 259 (1992).
10. D.S. Lubinsky, Strong Asymptotics for Extremal Errors and Polynomials Associated with Erdos Type Weights, Vol. 202 of Pitman Research Notes in Math. (Longmans, Harlow, 1989).
11. D.S. Lubinsky and E.B. Saff, Strong Asymptotics for Extremal Polynomials Associated with Weights on R, Vol. 1305 of Lecture Notes in Mathematics (Springer-Verlag, Berlin, 1988).
12. N I. Muskhelisvili, Singular Integral Equations (Noordhoff, Groningan, 1966).
13. S G. Michlin, Integral Equations (Pergamon, New York, 1964).
14. E. Brézin and A. Zee, Nucl. Phys. B402, 613 (1993).
15. K A. Muttalib, Y. Chen, M.E.H. Ismail and V N. Nicopoulos, Phys. Rev. Lett.71, 471 (1993).
16. M.E.H. Ismail and D R. Masson, Trans. Am. Math. Soc.346, 63 (1994).
17. J A. Shohat and J D. Tamarkin, The Problem of Moments (American Mathematical Society, Providence, 1963).
18. C A. Tracy and H. Widom, Commun. Math. Phys.159, 151 (1994);
19. C A. Tracy and H. Widom, Commun. Math. Phys.161, 289 (1994);
20. C A. Tracy and H. Widom, Commun. Math. Phys.163, 33 (1994).
21. E. Hofsteffer and M. Schreiber, Phys. Rev. Lett.73, 3137 (1994).
22. I S. Gradshteyn and I M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).
23. Y. Chen, M E. Ismail and K A. Muttalib, J. Phys. Condens. Matter4, L417 (1992).