Random walks on lattices with points of two colours. I
type: Item
instance of: scholarly article
title: Random walks on lattices with points of two colours. I
zbMATH Open document ID: 0659.60098
DOI: 10.1016/0378-4371(83)90029-8
author: F. den Hollander
author: P. W. Kasteleyn
published in: Physica A
publication date: 1983-01-01T00:00:00Z
review text: This paper is concerned with random walks on lattices with two kinds of points, black and white. The colours of the points are random variables with a translation invariant, but otherwise arbitrary, joint probability distribution. The steps of the walk are independent of the colours. We study the stochastic properties of the length of the subwalk from the starting point to a first black point and of subwalks between black points visited in succession, and establish a number of exact relations. These relations can be applied to a trapping problem by identifying the black points with imperfect traps. An example is discussed.
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 82B05
zbMATH DE Number: 4078430
zbMATH Keywords: recursion relations
zbMATH Keywords: random walks on lattices
zbMATH Keywords: trapping problem
MaRDI profile type: Publication
full work available at URL: 0378-4371(83)90029-8
OpenAlex ID: W2006201456
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description: scientific article; zbMATH DE number 4078430