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math.PR/0108211

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Title: One-arm exponent for critical 2D percolation
Authors: Gregory F. Lawler, Oded Schramm, Wendelin Werner
Categories: math.PR Probability Theory (math.CV Complex Variables; physics.math-ph Mathematical Physics)
MSC: 60K35; 82B43
Journal reference: Electron. J. Probab. vol. 7, paper no. 2, 1--13, 2002; http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html

Abstract: 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 $R\to\infty$.

Owner: Oded Schramm
Version 1: Thu, 30 Aug 2001 15:52:25 GMT

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