We use the lace expansion to prove an infra-red bound for site percolation on the hypercubic lattice in high dimension. This implies the triangle condition and allows us to derive several critical exponents that characterize mean-field behavior in high dimensions.

中文翻译：

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高维临界点渗透

我们使用花边扩展来证明高维超立方晶格上站点渗透的红外边界。这意味着三角形条件，并允许我们推导出几个表征高维平均场行为的关键指数。