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

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

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...

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Veröffentlicht in:arXiv.org 2003-03
Hauptverfasser: Couronne, O, Messikh, R J
Format: Artikel
Sprache:eng
Schlagworte:
Critical point
Percolation
Two dimensional models
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Zusammenfassung: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.
ISSN:2331-8422