Weakly Periodic Gibbs Measures in the HC-Model for a Normal Divisor of Index Four

被引：5

作者：

Khakimov, R. M. ^{[1
]}

机构：

[1] Uzbekistan Natl Univ, Inst Math, Tashkent, Uzbekistan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2016年 / 67卷 / 10期

关键词：

HARD-CORE MODEL; CAYLEY TREE; ISING-MODEL; STATE;

D O I：

10.1007/s11253-016-1174-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an HC-model on a Cayley tree. Under certain restrictions imposed on the parameters of the HC-model, we prove the existence of weakly periodic (nonperiodic) Gibbs measures for a normal divisor of index four.

引用

页码：1584 / 1598

页数：15

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