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One-Arm Exponent for Critical 2D Percolation (2001)

Abstract
The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than R is proved to decay like R to the power 5/48 as R goes to infinity.

Publication details
Publisher Institute of Mathematical Statistics
Repository Electronic Journal of Probability (United States)
Keywords Mathematics, 60K35, 82B43; Percolation, critical exponents
Type Peer-Reviewed Article
Language English
Coverage ; ;