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IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 3(45), p. 032005

DOI: 10.1088/1751-8113/45/3/032005

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Crossing probability and number of crossing clusters in off-critical percolation

Journal article published in 2011 by Gesualdo Delfino, Jacopo Viti ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

We consider two-dimensional percolation in the scaling limit close to criticality and use integrable field theory to obtain universal predictions for the probability that at least one cluster crosses between opposite sides of a rectangle of sides much larger than the correlation length and for the mean number of such crossing clusters. ; Comment: 13 pages, 5 figures. Published version with references, appendix and comparison with numerics added