Infinite Cycles in the Random Stirring Model on Trees
Vol. 8 No. 1 (2013) P.85~P.104
We prove that, in the random stirring model of parameter $T > 0$ 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.
Spatial random permutations, random stirring process, random interchange model
MATHEMATICAL SUBJECT CLASSIFICATION 2010
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Revised : 2012-10-15