English

Near-critical percolation in two dimensions

Probability 2007-12-03 v1

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.

Keywords

Cite

@article{arxiv.0711.4948,
  title  = {Near-critical percolation in two dimensions},
  author = {Pierre Nolin},
  journal= {arXiv preprint arXiv:0711.4948},
  year   = {2007}
}

Comments

71 pages, 20 figures

R2 v1 2026-06-21T09:49:04.387Z