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

George H. Weiss, Ido Dayan, Shlomo Havlin, James E. Kiefer, Hernan Larralde, H.Eugene Stanley and Paul Trunfio

Physica A: Statistical Mechanics and its Applications, 1992, vol. 191, issue 1, 479-490

Abstract: 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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:191:y:1992:i:1:p:479-490

DOI: 10.1016/0378-4371(92)90572-8

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