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On a model of random cycles

Daniel Gandolfo·Jean Ruiz·Daniel Ueltschi
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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.

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Daniel Gandolfo, Jean Ruiz, Daniel Ueltschi. 2007-08-06. On a model of random cycles. https://doi.org/10.1007/s10955-007-9410-1

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