Near-critical percolation in two dimensions

By Pierre Nolin. 2007

138 citations recorded by the source corpus.

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.

Subfields: Condensed Matter Physics, Mathematical Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/2cd3111f43e11310b74d3bf31388b41e4a878638

Citations in the corpus

• Lectures on two-dimensional critical percolation (2007, unknown): “34, 731-761 BIBLIOGRAPHY 73 [32] P. Nolin (2007), Near-critical percolation in two dimensions, Electron.”