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On the effect of adding epsilon-Bernoulli percolation to everywhere percolating subgraphs of Z^d

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arxiv math/9906002 v1 pith:MNUDMWNT submitted 1999-06-01 math.PR math-phmath.MP

classification math.PRmath-phmath.MP
keywords percolationaddingepsilon-bernoullieverywherepercolatingsimilarbehaviorbernoulli
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We show that adding epsilon-Bernoulli percolation to an everywhere percolating subgraph of Z^2 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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