On the effect of adding ε-Bernoulli percolation to everywhere percolating subgraphs of Zd
On the effect of adding ε-Bernoulli percolation to everywhere percolating subgraphs of Zd
复制标题
关于Zd的处处渗滤子图添加ε-伯努利渗滤的效果
DOI：
10.1063/1.533187
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发表时间：
1999
影响因子：
1.3
通讯作者：
O. Schramm
中科院分区：
文献类型：
--
作者：
I. Benjamini;O. Haggstrom;O. Schramm
我们证明，将 e-Bernoulli 渗流添加到 Z2 的无处不在渗流子图会产生一个在各种特定意义上具有类似于超临界伯努利渗流的大规模几何形状的图。我们推测在更高维度上也会有类似的行为。
We show that adding e-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.