New Periodic Gibbs Measures for q-state Potts Model on a Cayley Tree

被引：0

作者：

Khakimov, Rustamjon M. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Inst Math, Dormon Yoli 29, Tashkent 100125, Uzbekistan

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2014年 / 7卷 / 03期

关键词：

Cayley tree; configuration; Potts model; Gibbs measure; periodic Gibbs measures; translation invariant measures;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper under some conditions on parameters of the q-state Potts model on a Cayley tree of order k we prove existence of the periodic (non translation-invariant) Gibbs measures. Also we give a result about the number of such measures.

引用

页码：297 / 304

页数：8

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