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

On the effect of adding ǫ-Bernoulli percolation to everywhere percolating subgraphs of Z d
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关于在 Z d 的处处渗透子图上添加 ϫ-伯努利渗透的效果

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通讯作者:
O. Schramm
O. Schramm
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作者:
I. Benjamini;Olle Häggström;O. Schramm

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我们表明,添加到Z2的无处不在的膨胀子图的结果在一个图,它具有大规模的几何形状类似的超临界伯努利渗流,在各种特定的意义。我们推测在更高的维度中也有类似的行为。
We show that adding ǫ-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.