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


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.


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Pierre Nolin. "Near-critical percolation in two dimensions." Electron. J. Probab. 13 1562 - 1623, 2008.


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

Primary: 60K35
Secondary: 82B27 , 82B43

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

Vol.13 • 2008
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