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 Electronic Journal of Probability > Vol. 13 (2008) > Paper 55 open journal systems 


Near-critical percolation in two dimensions

Pierre Nolin, Ecole Normale Supérieure and Université Paris-Sud


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.


Full text: PDF

Pages: 1562-1623

Published on: September 17, 2008
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Electronic Journal of Probability. ISSN: 1083-6489