Open Access
2008 Near-critical percolation in two dimensions
Pierre Nolin
Author Affiliations +
Electron. J. Probab. 13: 1562-1623 (2008). DOI: 10.1214/EJP.v13-565

Abstract

We give a self-contained and detailed presentation of Kesten's results that allow to relate critical and near-critical percolation on the triangular lattice. They constitute an important step in the derivation of the exponents describing the near-critical behavior of this model. For future use and reference, we also show how these results can be obtained in more general situations, and we state some new consequences.

Citation

Download Citation

Pierre Nolin. "Near-critical percolation in two dimensions." Electron. J. Probab. 13 1562 - 1623, 2008. https://doi.org/10.1214/EJP.v13-565

Information

Accepted: 17 September 2008; Published: 2008
First available in Project Euclid: 1 June 2016

zbMATH: 1189.60182
MathSciNet: MR2438816
Digital Object Identifier: 10.1214/EJP.v13-565

Subjects:
Primary: 60K35
Secondary: 82B27 , 82B43

Keywords: arm events , Critical exponents , Near-critical percolation

Vol.13 • 2008
Back to Top