Near-critical percolation in two dimensions

Details Near-critical percolation in two dimensions Near-critical percolation in two dimensions

2007-11-30

arxiv.org/abs/0711.4948v1

Mathematics

Probability

71 pages, 20 figures

Scientific paper

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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