Singularity of full scaling limits of planar nearcritical percolation

被引：3
|
作者：
Aumann, Simon [1 ]
机构：
[1] Univ Munich, Math Inst, D-80333 Munich, Germany
来源：
STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2014年 / 124卷 / 11期
关键词：
Nearcritical; Percolation; Full scaling limit; Singular; NEAR-CRITICAL PERCOLATION;
D O I：
10.1016/j.spa.2014.07.005
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We consider full scaling limits of planar nearcritical percolation in the Quad-Crossing-Topology introduced by Schramm and Smirnov. We show that two nearcritical scaling limits with different parameters are singular with respect to each other. The results hold for percolation models on rather general lattices, including bond percolation on the square lattice and site percolation on the triangular lattice. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：3807 / 3818
页数：12
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