Surface order large deviations for 2d FK-percolation and Potts models

Details Surface order large deviations for 2d FK-percolation and Potts models Surface order large deviations for 2d FK-percolation and Potts models

2003-03-10

arxiv.org/abs/math/0303117v1

Mathematics

Probability

18 pages, 4 figures

Scientific paper

By adapting the renormalization techniques of Pisztora, we establish surface
order large deviations estimates for FK-percolation on $\Z^2$ with parameter
$q\geq 1$ and for the corresponding Potts models. Our results are valid up to
the exponential decay threshold of dual connectivities which is widely believed
to agree with the critical point.

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