Markovian nature of the two-dimensional self-avoiding random walk problem

F.W. Wiegel

Physica A: Statistical Mechanics and its Applications, 1979, vol. 98, issue 1, 345-351

Abstract: We show that the number of self-avoiding random walks in the plane can be deduced — in the limit of very long walks — from an integral equation for a function of three variables. This demonstrates the Markovian nature of this problem in two dimensions.

Date: 1979
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:98:y:1979:i:1:p:345-351

DOI: 10.1016/0378-4371(79)90185-7

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