Expected number of distinct sites visited by N random walks in the presence of an absorbing boundary

Journal of Physics A: Mathematical and General

Volumn 36, Issue 31, 2003, Pages 8367-8372

  Larralde, Hernán ^a   Weiss, George H ^b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b NATIONAL INSTITUTES OF HEALTH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141460112     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/31/302     Document Type: Article

References (15)

1. Polyá G 1929 Math. Ann. 84 149
2. Weiss G H 1994 Aspects and Applications of the Random Walk (Amsterdam: North-Holland)
3. Hughes B D 1995 Random Walks and Random Environments vols 1 and 2 (New York: Oxford University Press)
4. Das B B, Liu F and Alfano R R 1997 Rep. Prog. Phys. 60 227
5. Hebden J C, Arridge S R and Delpy D T 1997 Phys. Med. Biol. 42 841
6. Arridge S R and Hebden J C 1997 Phys. Med. Biol. 42 841
7. Bonner R F, Nossal R J, Havlin S and Weiss G H 1987 J. Opt. Soc. Ann. 4 423
8. Gandjbakhche A H and Weiss G H 1995 Prog. Opt. 34 335
9. Larralde H, Berezhkovskii A M and Weiss G H Physica A at press
10. Larralde H, Berezhkovskii A M and Weiss G H 2002 Phys. Rev. E 66 012901
11. Larralde H, Trunfio P, Havlin S, Stanley H E and Weiss G H 1992 Phys. Rev. A 45 7128
12. Berezhkovskii A M, Makhnovskii Yu A and Suris R A 1989 J. Stat. Phys. 57 333
13. Feller W 1971 An Introduction to Probability Theory and its Applications vol 2 (New York: Wiley)
14. Jain N C and Pruitt W E 1971 J. Anal. Math. 24 369
15. Jain N C and Pruitt W E 1971 Proc. Sixth Berkeley Symp. on Probability and Statistics (Berkeley, CA: University of California) p 131