Mathematics – Probability
Scientific paper
2005-09-10
Mathematics
Probability
5 pages. New version includes a proof of the existence of a dual graph of the type necessary for the proof. Accepted to Rev. M
Scientific paper
Let G be a planar graph with polynomial growth and isoperimetric dimension
bigger than 1. Then the critical p for Bernoulli percolation on G satisfies
p<1.
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