Infinite cycles in the random stirring model on trees

Details Infinite cycles in the random stirring model on trees Infinite cycles in the random stirring model on trees

2012-02-07

arxiv.org/abs/1202.1319v1

Mathematics

Probability

23 pages, two figures

Scientific paper

We prove that, in the random stirring model of parameter T on an infinite
rooted tree each of whose vertices has at least two offspring, infinite cycles
exist almost surely, provided that T is sufficiently high.

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