The Number of Incipient Spanning Clusters in Two-Dimensional Percolation

Abstract

Using methods of conformal field theory, we conjecture an exact form for the probability that n distinct clusters span a large rectangle or open cylinder of aspect ratio k, in the limit when k is large.

9 pages, LaTeX, 1 eps figure. Additional references and comparison with existing numerical results included

References in corpus (2)

• Probability of Incipient Spanning Clusters in Critical Square Bond Percolation
• Probability distribution and sizes of spanning clusters at the percolation thresholds

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