arXiv:math/0303117 Abstract

arXiv:math/0303117 [math.PR]Abstract References Reviews Resources

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

Published 2003-03-10Version 1

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.

Comments: 18 pages, 4 figures

Categories: math.PR

Subjects: 60F10, 60K35, 82B20, 82B43

Keywords: potts models, 2d fk-percolation, surface order large deviations estimates, establish surface order large deviations, exponential decay threshold

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