Oded Schramm
Published 2001-07-13, updated 2001-07-30Version 2
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 $K\cup A$.
Comments: 7 pages; minor changes from previous version
Journal: Electron. Comm. Probab. vol. 6, paper no. 12, 115--120, 2001; http://www.math.washington.edu/~ejpecp/EcpVol6/paper12.abs.html
One-arm exponent for critical 2D percolation
Critical site percolation in high dimension
The lowest crossing in 2D critical percolation
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