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The incipient infinite cluster in high-dimensional percolation
classification
🧮 math-ph
math.MPmath.PR
keywords
percolationclusterincipientinfiniteproofannouncebonddimensions
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We announce our recent proof that, for independent bond percolation in high dimensions, the scaling limits of the incipient infinite cluster's two-point and three-point functions are those of integrated super-Brownian excursion (ISE). The proof uses an extension of the lace expansion for percolation.
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