Infinite cycles in the random stirring model on trees
Probability
2013-04-23 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1202.1319,
title = {Infinite cycles in the random stirring model on trees},
author = {Alan Hammond},
journal= {arXiv preprint arXiv:1202.1319},
year = {2013}
}
Comments
23 pages, two figures