Classical 1D maps, quantum graphs and ensembles of unitary matrices

Journal of Physics A: Mathematical and General

Volumn 34, Issue 43, 2001, Pages 9303-9317

  Pakoński, Prot ^a   Zyczkowski, Karol ^b   Kuś, Marek ^b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b CENTER FOR THEORETICAL PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035798527     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/43/313     Document Type: Article

References (26)

1. Kottos T and Smilansky U 1997 Phys. Rev. Lett. 79 4794
2. Kottos T and Smilansky U 1999 Ann. Phys., NY 274 76
3. Schanz H and Smilansky U 1999 Proc. Australian Summer School in Quantum Chaos and Mesoscopics (Canberra) (Schanz H and Smilansky U 1999 Spectral statistics for quantum graphs: periodic orbits and combinatorics Preprint chao-dyn/9904007)
4. Schanz H and Smilansky U 1999 Proc. Australian Summer School in Quantum Chaos and Mesoscopics (Canberra) (Schanz H and Smilansky U 1999 Spectral statistics for quantum graphs: periodic orbits and combinatorics Preprint chao-dyn/9904007)
5. Berkolaiko G and Keating J P 1999 J. Phys. A: Math. Gen. 32 7814
6. Tanner G 2000 J. Phys. A: Math. Gen. 33 3567
7. Schanz H and Smilansky U 2000 Phys. Rev. Lett. 84 1427
8. Kottos T and Smilansky U 2000 Phys. Rev. Lett. 85 968
9. Barra F and Gaspard P 2000 J. Stat. Phys. 101 283
10. Barra F and Gaspard P 2001 Phys. Rev. E 63 066215
11. Dyson F J 1962 J. Math. Phys. 3 140 Dyson F J 1962 J. Math. Phys. 3 157 Dyson F J 1962 J. Math. Phys. 3 166
12. Dyson F J 1962 J. Math. Phys. 3 140 Dyson F J 1962 J. Math. Phys. 3 157 Dyson F J 1962 J. Math. Phys. 3 166
13. Dyson F J 1962 J. Math. Phys. 3 140 Dyson F J 1962 J. Math. Phys. 3 157 Dyson F J 1962 J. Math. Phys. 3 166
14. Mehta M L 1991 Random Matrices 2nd edn (New York: Academic)
15. Marshall A W and Olkin I 1979 The Theory of Majorizations and Its Applications (New York: Academic)
16. Katok A and Hasselblatt B 1995 Introduction to the Modern Theory of Dynamical Systems (Cambridge: Cambridge University Press)
17. Haake F 1991 Quantum Signatures of Chaos (Berlin: Springer)
18. Gantmacher F R 1959 The Theory of Matrices vol 1, 2 (New York: Chelsea)
19. Gutzwiller M C 1990 Chaos in Classical and Quantum Mechanics (Berlin: Springer)
20. Poźniak M, Życzkowski K and Kuś M 1998 J. Phys. A: Math. Gen. 31 1059
21. Berry M V and Robnik M 1984 J. Phys. A: Math. Gen. 17 2413
22. Dellnitz M, Froyland G and Sertl S 2000 Nonlinearity 13 1171
23. Życzkowski K and Bollt E M 1999 Physica D 132 393
24. Berkolaiko G 2001 J. Phys. A: Math. Gen. 34 L319
25. Tanner G 2001 J. Phys. A: Math. Gen. 34 8485
26. Życzkowski K, Słomczyński W, Kuś M and Sommers H-J 2001 to be published