Physics – Mathematical Physics
Scientific paper
2002-08-14
J. Phys. A, 35, L565, 2002.
Physics
Mathematical Physics
7 pages, 1 figure; v.2,3: minor corrections; v.4: published version
Scientific paper
An exact formula is given for the probability that there exists a spanning cluster between opposite boundaries of an annulus, in the scaling limit of critical percolation. The entire distribution function for the number of distinct spanning clusters is also given. These results are found using Coulomb gas methods. Their forms are compared with the expectations of conformal field theory.
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