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2013 / March Volume 8 No.1
Infinite Cycles in the Random Stirring Model on Trees
Published Date
2013 / March
Title
Infinite Cycles in the Random Stirring Model on Trees
Author
Alan Hammond
Keyword
Spatial random permutations, random stirring process, random interchange model, Spatial random permutations, random stirring process, random interchange model
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Pagination
85-104
Abstract
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.
AMS Subject
Classification
60K35
Received
2012-10-15
Accepted
2012-10-16
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