One-arm exponent for critical 2D percolation

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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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Probability, Mathematical Physics, Complex Variables, 60K35; 82B43

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http://salesiana.dossiersoluciones.com/handle/123456789/95649

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108211
 http://arxiv.org/abs/math/0108211
 Electron. J. Probab. vol. 7, paper no. 2, 1--13, 2002; http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html

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