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

Olivier Couronné and Reda Jürg Messikh

Stochastic Processes and their Applications, 2004, vol. 113, issue 1, 81-99

Abstract: By adapting the renormalization techniques of Pisztora (Probab. Theory Relat. Fields 104 (1996) 427), we establish surface order large deviations estimates for FK-percolation on with parameter q[greater-or-equal, slanted]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.

Keywords: Large; deviations; FK-percolation; Potts; models (search for similar items in EconPapers)
Date: 2004
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