One-arm exponent for critical 2D percolation

Details One-arm exponent for critical 2D percolation One-arm exponent for critical 2D percolation

2001-08-30

arxiv.org/abs/math/0108211v1

Electron. J. Probab. vol. 7, paper no. 2, 1--13, 2002; http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html

Mathematics

Probability

Scientific paper

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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