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 Electronic Journal of Probability > Vol. 7 (2002) > Paper 2 open journal systems 


One-Arm Exponent for Critical 2D Percolation

Gregory F. Lawler, Duke University and Cornell University
Oded Schramm, Microsoft Research
Wendelin Werner, Université Paris-Sud and IUF


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.


Full text: PDF

Pages: 1-13

Published on: November 30, 2001


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Electronic Journal of Probability. ISSN: 1083-6489