One-arm exponent for critical 2D percolation
classification
🧮 math.PR
math-phmath.CVmath.MP
keywords
criticalpercolationclusterdecaydiameterexponentgridinfty
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The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R^{-5/48}$ as $R\to\infty$.
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