On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Zd
Itai Benjamini, Olle Häggström, Oded Schramm
Abstract
We show that adding epsilon-Bernoulli percolation to an everywhere percolating subgraph of Z2 results in a graph which has large scale geometry similar to that of supercritical Bernoulli percolation, in various specific senses. We conjecture similar behavior in higher dimensions.
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