A percolation formula

Oded Schramm

A percolation formula

概率论 2007-05-23 v2 数学物理 math.MP

作者: Oded Schramm

摘要

Let $A$ be an arc on the boundary of the unit disk $U$ . We prove an asymptotic formula for the probability that there is a percolation cluster $K$ for critical site percolation on the triangular grid in $U$ which intersects $A$ and such that 0 is surrounded by $K\cup A$ .

关键词

percolation theory

引用

@article{arxiv.math/0107096,
  title  = {A percolation formula},
  author = {Oded Schramm},
  journal= {arXiv preprint arXiv:math/0107096},
  year   = {2007}
}

备注

7 pages; minor changes from previous version

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