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On the Rate of Convergence for Critical Crossing Probabilities

Mathematical Physics 2013-07-03 v2 math.MP Probability

Abstract

For the site percolation model on the triangular lattice and certain generalizations for which Cardy's Formula has been established we acquire a power law estimate for the \emph{rate} of convergence of the crossing probabilities to Cardy's Formula.

Keywords

Cite

@article{arxiv.1210.1917,
  title  = {On the Rate of Convergence for Critical Crossing Probabilities},
  author = {I. Binder and L. Chayes and H. K. Lei},
  journal= {arXiv preprint arXiv:1210.1917},
  year   = {2013}
}

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61 pages