Infinite cycles in the random stirring model on trees

Abstract

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. In the appendices, the bound on degree above which the result holds is improved slightly.

23 pages, two figures

References in corpus (1)

• Spatial random permutations and infinite cycles

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