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

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.

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Year of publication:	1979
Authors:	Wiegel, F.W.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 98.1979, 1, p. 345-351
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011063372