TY - JOUR

T1 - Some recent variations on the expected number of distinct sites visited by an n-step random walk

AU - Weiss, George H.

AU - Dayan, Ido

AU - Havlin, Shlomo

AU - Kiefer, James E.

AU - Larralde, Hernan

AU - Stanley, H. Eugene

AU - Trunfio, Paul

PY - 1992/12/15

Y1 - 1992/12/15

N2 - Asymptotic forms for the expected number of distinct sites visited by an n-step random walk, being calculable for many random walks, have been used in a number of analyses of physical models. We describe three recent extensions of the problem, the first replacing the single random walker by N→∞ random walkers, the second to the study of a random walk in the presence of a trapping site, and the third to a random walk in the presence of a trapping hyperplane.

AB - Asymptotic forms for the expected number of distinct sites visited by an n-step random walk, being calculable for many random walks, have been used in a number of analyses of physical models. We describe three recent extensions of the problem, the first replacing the single random walker by N→∞ random walkers, the second to the study of a random walk in the presence of a trapping site, and the third to a random walk in the presence of a trapping hyperplane.

UR - http://www.scopus.com/inward/record.url?scp=0001064942&partnerID=8YFLogxK

U2 - 10.1016/0378-4371(92)90572-8

DO - 10.1016/0378-4371(92)90572-8

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0001064942

SN - 0378-4371

VL - 191

SP - 479

EP - 490

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-4

ER -