Crossing Formulae for Critical Percolation in an Annulus

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dc.creatorCardy, John
dc.date2002-08-14
dc.date2002-09-20
dc.date.accessioned2026-07-07T04:29:22Z
dc.date.available2026-07-07T04:29:22Z
dc.descriptionAn 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.
dc.description7 pages, 1 figure; v.2,3: minor corrections; v.4: published version
dc.identifierhttps://arxiv.org/abs/math-ph/0208019
dc.identifierhttp://arxiv.org/abs/math-ph/0208019
dc.identifierJ. Phys. A, 35, L565, 2002.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57127
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectProbability
dc.titleCrossing Formulae for Critical Percolation in an Annulus
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