Surface order large deviations for 2d FK-percolation and Potts models
Abstract
By adapting the renormalization techniques of Pisztora, we establish surface order large deviations estimates for FK-percolation on 2 with parameter q≥ 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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