Dynamical correlations among vicious random walkers

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 307, Issue 1, 2003, Pages 29-35

  Nagao, Taro ^a   Katori, Makoto ^b   Tanemura, Hideki ^c  

^a OSAKA UNIVERSITY   (Japan)

^b CHUO UNIVERSITY   (Japan)

^c CHIBA UNIVERSITY   (Japan)

Author keywords

Random matrices; Vicious random walk

Indexed keywords

MATRIX ALGEBRA; RANDOM PROCESSES;

DISCONTINUOUS TRANSITION; DYNAMICAL CORRELATIONS; GAUSSIAN ORTHOGONAL ENSEMBLES; GAUSSIAN UNITARY ENSEMBLE; PARTICLE DISTRIBUTIONS; RANDOM MATRICES; RANDOM WALK; UNIVERSALITY CLASS;

ELEMENTARY PARTICLE SOURCES;

ARTICLE; CORRELATION ANALYSIS; DIFFUSION; DYNAMICS; MATHEMATICAL COMPUTING; MOTION; RANDOMIZATION; RATING SCALE; TIME; WALKING AID;

EID: 0037454805     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(02)01661-4     Document Type: Article

References (30)

1. M.E. Fisher, J. Stat. Phys. 34 (1984) 667.
2. J. Baik, Commun. Pure Appl. Math. 53 (2000) 1385.
3. T. Nagao, P.J. Forrester, Nucl. Phys. B 620 (2002) 551.
4. A.J. Guttmann, A.L. Owczarek, X.G. Viennot, J. Phys. A 31 (1998) 8123.
5. J. Baik, P. Deift, K. Johansson, J. Amer. Math. Soc. 12 (1999) 1119.
6. C. Krattenthaler, A.J. Guttmann, X.G. Viennot, J. Phys. A 33 (2000) 8835.
7. K. Johansson, Commun. Math. Phys. 209 (2000) 437.
8. M. Prähofer, H. Spohn, Physica A 279 (2000) 342.
9. M. Prähofer, H. Spohn, Phys. Rev. Lett. 84 (2000) 4882.
10. J. Baik, E.M. Rains, Duke Math. J. 109 (2001) 205.
11. J. Baik, E.M. Rains, math.CO/9905084.
12. M. Prähofer, H. Spohn, in: V. Sidoravicius (Ed.), Progress in Probability, Vol. 51, Birkhauser, Boston, 2002, pp. 185-204.
13. M. Katori, H. Tanemura, cond-mat/0110274; M. Katori, H. Tanemura, cond-mat/0111515.
14. M. Katori, H. Tanemura, cond-mat/0110274; M. Katori, H. Tanemura, cond-mat/0111515.
15. M. Katori, H. Tanemura, Phys. Rev. E 66 (2002) 011105.
16. A. Altland, S. Iida, K.B. Efetov, J. Phys. A 26 (1993) 3545.
17. O. Bohigas, M.-J. MA. Giannoni, A.M. Ozorio de Almeida, C. Schmit, Nonlinearity 8 (1995) 203.
18. C. Itzykson, J.-B. Zuber, J. Math. Phys. 21 (1980) 411.
19. M.L. Mehta, Commun. Math. Phys. 79 (1981) 327.
20. M.L. Mehta, A. Pandey, J. Phys. A 16 (1983) 2655.
21. A. Pandey, M.L. Mehta, Commun. Math. Phys. 87 (1983) 449.
22. T. Nagao, Nucl. Phys. B 602 (2001) 622.
23. F.J. Dyson, Commun. Math. Phys. 19 (1970) 235.
24. F.J. Dyson, J. Math. Phys. 3 (1962) 1191.
25. P.J. Forrester, T. Nagao, J. Stat. Phys. 89 (1997) 69.
26. T. Nagao, P.J. Forrester, Nucl. Phys. B 530 (1998) 742.
27. T. Nagao, P.J. Forrester, Nucl. Phys. B 563 (1999) 547.
28. P.J. Forrester, T. Nagao, G. Honner, Nucl. Phys. B 553 (1999) 601.
29. P.J. Forrester, Nucl. Phys. B 402 (1993) 709.
30. C.A. Tracy, H. Widom, Commun. Math. Phys. 159 (1994) 151.