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arXiv:math/0108211 [math.PR]AbstractReferencesReviewsResources

One-arm exponent for critical 2D percolation

Gregory F. Lawler, Oded Schramm, Wendelin Werner

Published 2001-08-30Version 1

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 $R\to\infty$.

Journal: Electron. J. Probab. vol. 7, paper no. 2, 1--13, 2002; http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html
Categories: math.PR, math-ph, math.CV, math.MP
Subjects: 60K35, 82B43
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