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One-arm exponent for critical 2D percolation (2001)

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 $R\to\infty$.

Publication details
Download http://arxiv.org/abs/math/0108211
http://www.math.washington.edu/~ejpecp/EjpVol7/paper2.abs.html
Repository arXiv (United States)
Keywords Mathematics - Probability, Mathematical Physics, Mathematics - Complex Variables, 60K35, 82B43
Type text