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 ${\mathbb{Z}}^2$ with parameter $q\ge 1$ 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.

18 pages, 4 figures

References in corpus (2)

• Random walks on supercritical percolation clusters
• Separated-occurrence inequalities for dependent percolation and Ising models

Cited by in corpus (1)

• Random walks on supercritical percolation clusters