The Quenched Critical Point for Self-Avoiding Walk on Random Conductors

被引：1

作者：

Chino, Yuki ^{[1
]}

Sakai, Akira ^{[1
]}

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 060, Japan

来源：

JOURNAL OF STATISTICAL PHYSICS | 2016年 / 163卷 / 04期

关键词：

Disordered systems; Self-avoiding walk; Random medium; Critical point; RANDOM-ENVIRONMENTS;

D O I：

10.1007/s10955-016-1477-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Following similar analysis to that in Lacoin (Probab Theory Relat Fields 159: 777-808, 2014), we can show that the quenched critical point for self-avoiding walk on random conductors on Z(d) is almost surely a constant, which does not depend on the location of the reference point. We provide upper and lower bounds which are valid for all d >= 1.

引用

页码：754 / 764

页数：11

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