Invariance Property on Group Representations of the Cayley Tree and Its Applications

被引：0

作者：

Farhod Haydarov

Utkir Rozikov

机构：

[1] Institute of Mathematics,

[2] AKFA University,undefined

[3] National University of Uzbekistan,undefined

来源：

Results in Mathematics | 2022年 / 77卷

关键词：

Group representation of Cayley tree; subgroups; invariance property; Ising model; 20B07; 20E06;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper, we give a certain condition on (not normal) subgroups of the group representation of the Cayley tree such that an invariance property holds. Except for the given condition, we show that the invariance property does not hold. In other words, we open new direction to the theory of periodic and weakly periodic Gibbs measures corresponding to subgroups of the group representation of Cayley trees. We apply our results for the Ising model.

引用

共 50 条

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