Families of vicious walkers

Journal of Physics A: Mathematical and General

Volumn 36, Issue 3, 2003, Pages 609-629

  Cardy, John ^a,b   Katori, Makoto ^c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b ALL SOULS COLLEGE   (United Kingdom)

^c CHUO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242361299     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/3/302     Document Type: Article

References (21)

1. Fisher M E 1984 Walks, walls, wetting, and melting J. Stat. Phys. 34 667-729 See also Huse D A and Fisher M E 1984 Commensurate melting, domain walls, and dislocations Phys. Rev. B 29 239-70
2. Fisher M E 1984 Walks, walls, wetting, and melting J. Stat. Phys. 34 667-729 See also Huse D A and Fisher M E 1984 Commensurate melting, domain walls, and dislocations Phys. Rev. B 29 239-70
3. Mukherji S and Bhattacharjee S M 1993 Reunion and survival of interacting walkers Phys. Rev. E 48 3427-40 Mukherji S and Bhattacharjee S M 1995 Phys. Rev. E 52 3301
4. Mukherji S and Bhattacharjee S M 1993 Reunion and survival of interacting walkers Phys. Rev. E 48 3427-40 Mukherji S and Bhattacharjee S M 1995 Phys. Rev. E 52 3301
5. Mukherji S and Bhattacharjee S M 1993 Reunion of vicious walkers: results from ε-expansion J. Phys. A: Math. Gen. 26 L1139-44
6. Krattenthaler C, Guttmann A J and Viennot X G 2000 Vicious walkers, friendly walkers and Young tableaux: II. With a wall J. Phys. A: Math. Gen. 33 8835-66
7. Katori M and Tanemura H 2002 Scaling limit of vicious walks and two-matrix model Phys. Rev. E 66 011105
8. de Gennes P-G 1968 Soluble model for fibrous structures with steric constraints J. Chem. Phys. 48 2257-9
9. Krapivsky P L and Redner S 1996 Kinetics of a diffusion capture process: lamb besieged by a pride of lions J. Phys. A: Math. Gen. 29 5347-57
10. Redner S and Krapivsky P L 1999 Capture of the lamb: diffusing predators seeking a diffusing prey Am. J. Phys. 67 1277-83
11. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press) ch 6-8
12. Niederhausen H 1983 The ballot problem with three candidates Euro. J. Comb. 4 161-7
13. Duplantier B 1988 Intersections of random walks: direct renormalization approach Commun. Math. Phys. 117 279-329
14. Duplantier B and Kwon K-H 1988 Conformal invariance and intersections of random walks Phys. Rev. Lett. 61 2514-7
15. Lawler G F and Werner W 1999 Intersection exponents for planar Brownian motion Ann. Probab. 27 1601-42 Lawler G F, Schramm O and Werner W 2001 Sharp estimates for Brownian non-intersection probabilities Preprint math PR/0101247
16. Lawler G F and Werner W 1999 Intersection exponents for planar Brownian motion Ann. Probab. 27 1601-42 Lawler G F, Schramm O and Werner W 2001 Sharp estimates for Brownian non-intersection probabilities Preprint math PR/0101247
17. Doi M 1976 Second quantization representation for classical many-particle system J. Phys. A: Math. Gen. 9 1465-77
18. Peliti L 1985 Path integral approach to birth-death processes on a lattice J. Physique 46 1469-83
19. Cardy J 1999 Field Theory and Nonequilibrium Statistical Mechanics (Lecture Notes) http://www-thphys.physics.ox.ac.uk/users/JohnCardy/notes.ps
20. Amit D J 1984 Field Theory, the Renormalization Group, and Critical Phenomena (Singapore: World Scientific)
21. Bray A J and Blythe R A 2002 Exact asymptotics for one-dimensional diffusion with mobile traps Preprint cond-mat/0205381