Random-cluster measures and uniform spanning trees

Consider the random-cluster model on the integer lattice with parameters p and q. As p, q --> 0 in such a way that q/p --> 0, the random-cluster measures converge weakly to the uniform spanning tree measure of Pemantle (1991).

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Year of publication:	1995
Authors:	Häggström, Olle
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 59.1995, 2, p. 267-275
Publisher:	Elsevier
Keywords:	Random-cluster model FK model Uniform spanning tree Weak convergence

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

Persistent link: https://www.econbiz.de/10008875269