Countably Periodic Gibbs Measures of the Ising Model on the Cayley Tree

被引：0
|
作者：
U. A. Rozikov
机构：
[1] Academy of Sciences of Uzbekistan,Romanovskii Mathematical Institute
来源：
Theoretical and Mathematical Physics | 2001年 / 130卷
关键词：
Group Representation; Wide Class; Ising Model; Gibbs Measure; Cayley Tree;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We describe a wide class of normal divisors of infinite index of the group representation of the Cayley tree and study the structure of partitions of the Cayley tree w.r.t. any normal divisor of infinite index. We prove that for a specific normal divisor of infinite index, there are three periodic and uncountably many nonperiodic Gibbs measures for an inhomogeneous Ising model.
引用
收藏
页码：92 / 100
页数：8
相关论文
共 50 条
12345