On the area under a continuous time Brownian motion till its first-passage time

Journal of Physics A: Mathematical and General

Volumn 38, Issue 19, 2005, Pages 4097-4104

  Kearney, Michael J ^a   Majumdar, Satya N ^b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21244449641     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/19/004     Document Type: Article

References (21)

1. Janse van Rensburg E J 2000 The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles (Oxford: Oxford University Press)
2. Prellberg T and Brak R 1995 J. Stat. Phys. 78 701
3. Richard C 2002 J. Stat. Phys. 108 459
4. Richard C, Guttmann A J and Jensen I 2001 J. Phys. A: Math. Gen. 34 L495
5. Prellberg T 1995 J. Phys. A: Math. Gen. 28 1289
6. Kearney M J 2004 J. Phys. A: Math. Gen. 37 8421
7. Dhar D and Ramaswamy R 1989 Phys. Rev. Lett. 63 1659
8. Shepp L A 1982 Ann. Probab. 10 234
9. Takacs L 1992 Ann. Appl. Probab. 2 435
10. Takacs L 1995 J. Appl. Probab. 32 375
11. Darling D A 1983 Ann. Probab. 11 803
12. Louchard G 1984 J. Appl. Probab. 21 479
13. Takacs L 1993 Ann. Appl. Probab. 3 186
14. Perman M and Wellner J A 1996 Ann. Appl. Probab. 6 1091
15. Majumdar S N and Comtet A 2005 J. Stat. Phys. at press (Preprint cond-mat/0409566)
16. Majumdar S N and Comtet A 2002 Phys. Rev. E66 061105
17. Dean D S and Majumdar S N 2001 J. Phys. A: Math. Gen. 34 L697
18. Gradshteyn I S and Ryzhik I M 1980 Tables of Integrals, Series and Products 5th edn (London: Academic)
19. Flajolet P and Louchard G 2001 Algorithmica 31 361
20. Majumdar S N and Comtet A 2004 Phys. Rev. Lett. 92 225501
21. Rajesh R and Dhar D 2005 Phys. Rev. E 71 016130 (Preprint cond-mat/0303577)