Surface order large deviations for 2D FK-percolation and Potts models
Surface order large deviations for 2D FK-percolation and Potts models
复制标题
二维 FK 渗流和 Potts 模型的表面顺序偏差较大
DOI：
10.1016/j.spa.2004.03.010
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发表时间：
2003
影响因子：
1.4
通讯作者：
R. Messikh
中科院分区：
文献类型：
--
作者：
O. Couronne;R. Messikh
通过调整重整化技术的Pisztora（Probab。理论相关。Fields 104（1996）427），我们建立了Z2上参数q ≠ 1的FK-渗流和相应的Potts模型的面序大偏差估计.我们的结果是有效的指数衰减阈值的对偶连接，这被广泛认为是同意的临界点。
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 Z2with 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.