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Critical site percolation in high dimension
Markus Heydenreich, Kilian Matzke · 2019-11-11 · via math.PR updates on arXiv.org

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.

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