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paper

On a model of random cycles

arXiv:cond-mat/0703315 · doi:10.1007/s10955-007-9410-1

Abstract

We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evidence for the occurrence of a transition to a phase with infinite, macroscopic cycles.

13 pages