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Locality of Bernoulli Site Percolation on Transitive Graphs

Tran, Tho et al.
arXiv (All) · Papers
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probability
We prove locality of the critical probability for Bernoulli site percolation on infinite, connected, locally finite, vertex-transitive graphs, under the usual assumption that the critical probabilities stay uniformly below one. The proof develops site-percolation forms of the two-ghost inequality, s
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