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arXiv:1105.2638 [math.PR]AbstractReferencesReviewsResources

Uniqueness of percolation on products with Z

Itai Benjamini, Gady Kozma

Published 2011-05-13, updated 2012-07-28Version 2

We show that there exists a connected graph G with subexponential volume growth such that critical percolation on the product of G with the line has infinitely many infinite clusters. We also give some conditions under which this cannot occur.

Comments: 10 pages. New version includes one result in the positive direction
Categories: math.PR
Subjects: 60K35, 82B43
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