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

O. Couronne; R. J. Messikh

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

O. Couronne·R. J. Messikh

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Abstract

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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O. Couronne, R. J. Messikh. 2003-03-10. Surface order large deviations for 2d FK-percolation and Potts models. https://arxiv.org/abs/math/0303117

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