Random walks and random fixed-point free involutions

Journal of Physics A: Mathematical and General

Volumn 34, Issue 28, 2001, Pages

  Baker, T H ^a,b   Forrester, P J ^c  

^a KYOTO UNIVERSITY   (Japan)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035920045     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/28/101     Document Type: Article

References (24)

1. Baik J, Dieft P and Johansson K 1999 On the distribution of the length of the longest increasing subsequence of random permutations J. Am. Math. Soc. 12 1119-78
2. Baik J and Rains E M 1999 Algebraic aspects of increasing subsequences Preprint math.CO/9905083
3. Baik J and Rains E M 1999 The asymptotics of monotone subsequences of involutions Preprint math.CO/9905084
4. Baik J and Rains E M 1999 Symmetrized random permutations Preprint math.CO/9910019
5. Baik J 2000 Random vicious walks and random matrices Commun. Pure Appl. Math. 53 1385-410
6. Borodin A, Okounkov A and Olshanski G 1999 Asymptotics of Plancherel measures for symmetric groups J. Am. Math. Soc. 13 481-515
7. Forrester P J 1989 Probability of survival for vicious walkers near a cliff J. Phys. A: Math. Gen. 22 L609-13
8. Forrester P J 1991 Exact results for vicious walker models of domain walls J. Phys. A: Math. Gen. 24 203-18
9. Forrester P J 1993 The spectrum edge of random matrix ensembles Nucl. Phys. B 402 709-28
10. Forrester P J 1999 Random walks and random permutations Preprint math.CO/9907037
11. Forrester P J 2000 Painlevé transcendent evaluation of the scaled distribution of the smallest eigenvalue in the Laguerre orthogonal and symplectic ensembles Preprint nlin.SI/0005064
12. Fulton W 1997 Young Tableaux (London Mathematical Society Student Texts) (Cambridge: Cambridge University Press)
13. Guttmann A J, Owczarek A L and Viennot X G 1998 Vicious walkers and Young tableaux I: without walls J. Phys. A: Math. Gen. 31 8123-35
14. Tracy C A, Gravner J and Widom H 2000 Limit theorems for height fluctuations in a class of discrete space and time fluctuations Preprint math.PR/0005133
15. Johansson K 1999 Discrete orthogonal polynomial ensembles and the Plancherel measure Preprint math.CO/9906120
16. Johansson K 2000 Shape fluctuations and random matrices Commun. Math. Phys. 209 437-76
17. Krattenthaler C, Guttmann A J and Viennot X G 2000 Vicious walkers, friendly walkers and Young tableaux: II J. Phys. A: Math. Gen. 33 8835-66
18. Okounkov A 2000 Random matrices and random permutations Int. Math. Res. Notices 20 1043-95
19. Prähofer M and Spohn H 2000 Universal distributions for growth processes in 1 + 1 dimensions and random matrices Phys. Rev. Lett. 84 4882-5
20. Proctor R A 1988 Odd symplectic groups Inv. Math. 92 307-32
21. Rains E M 1998 Increasing subsequences and the classical groups Elect. J. Combin. 5 #R12
22. Sundaram S 1990 The Cauchy identity for Sp(2n) J. Combin. Theory A 53 209-38
23. Tracy C A and Widom H 1994 Level-spacing distributions and the Airy kernel Commun. Math. Phys. 159 151-74
24. Tracy C A and Widom H 1996 On orthogonal and symplectic matrix ensembles Commun. Math. Phys. 177 727-54