Abstract
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 the union of $K$ and $A$.
Citation
Oded Schramm. "A Percolation Formula." Electron. Commun. Probab. 6 115 - 120, 2001. https://doi.org/10.1214/ECP.v6-1041
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