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arXiv · 1105.2638

Uniqueness of percolation on products with Z

Itai Benjamini·Gady Kozma
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Abstract

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.

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Itai Benjamini, Gady Kozma. 2011-05-13. Uniqueness of percolation on products with Z. https://arxiv.org/abs/1105.2638

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