On two types of obstructed random walks

P.W. Kasteleyn

Physica A: Statistical Mechanics and its Applications, 1987, vol. 147, issue 1, 315-343

Abstract: Two examples of random walks on a lattice which are subject to obstructing conditions are discussed: (i) a random walk on a d-dimensional lattice containing a periodic array of traps; (ii) a random walk in a set of colliding random walks in d = 1. Expressions are derived for the probability distribution of the lattice point where the walk comes to an end and the average total number of distinct lattice points visited in example (i), and for the probability distribution of a walker's displacement, in particular the mean square displacement, for long times in example (ii).

Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:147:y:1987:i:1:p:315-343

DOI: 10.1016/0378-4371(87)90113-0

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