Open Access
2002 One-Arm Exponent for Critical 2D Percolation
Gregory Lawler, Oded Schramm, Wendelin Werner
Author Affiliations +
Electron. J. Probab. 7: 1-13 (2002). DOI: 10.1214/EJP.v7-101

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.

Citation

Download Citation

Gregory Lawler. Oded Schramm. Wendelin Werner. "One-Arm Exponent for Critical 2D Percolation." Electron. J. Probab. 7 1 - 13, 2002. https://doi.org/10.1214/EJP.v7-101

Information

Accepted: 30 November 2001; Published: 2002
First available in Project Euclid: 16 May 2016

zbMATH: 1015.60091
MathSciNet: MR1887622
Digital Object Identifier: 10.1214/EJP.v7-101

Subjects:
Primary: 60K35
Secondary: 82B43

Keywords: Critical exponents , percolation

Vol.7 • 2002
Back to Top