中文

One-arm exponent for critical 2D percolation

概率论 2007-05-23 v1 数学物理 复变函数 math.MP

摘要

The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than RR is proved to decay like R5/48R^{-5/48} as RR\to\infty.

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引用

@article{arxiv.math/0108211,
  title  = {One-arm exponent for critical 2D percolation},
  author = {Gregory F. Lawler and Oded Schramm and Wendelin Werner},
  journal= {arXiv preprint arXiv:math/0108211},
  year   = {2007}
}