The Lowest Crossing in Two-Dimensional Critical Percolation
نویسندگان
چکیده
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منابع مشابه
The lowest crossing in 2 D critical percolation
We study the following problem for critical site percolation on the triangular lattice. Let A and B be sites on a horizontal line e separated by distance n. Consider, in the half-plane above e, the lowest occupied crossing Rn from the half-line left of A to the half-line right of B. We show that the probability that Rn has a site at distance smaller than m from AB is of order (log(n/m)), unifor...
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