## Electronic Journal of Probability

### Near-critical percolation in two dimensions

Pierre Nolin

#### 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.

#### Article information

Source
Electron. J. Probab. Volume 13 (2008), paper no. 55, 1562-1623.

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

http://projecteuclid.org/euclid.ejp/1464819128

Digital Object Identifier
doi:10.1214/EJP.v13-565

Mathematical Reviews number (MathSciNet)
MR2438816

Zentralblatt MATH identifier
1189.60182

Rights

#### Citation

Nolin, Pierre. Near-critical percolation in two dimensions. Electron. J. Probab. 13 (2008), paper no. 55, 1562--1623. doi:10.1214/EJP.v13-565. http://projecteuclid.org/euclid.ejp/1464819128.

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