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
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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 -