On the set of Gibbs measures for model with a countable set of spin values on Cayley trees

被引：3
|
作者：
Botirov, Golibjon [1 ,2 ]
Haydarov, Farhod [1 ,3 ]
机构：
[1] Inst Math, Math Anal, Univ St 9, Tashkent 100174, Uzbekistan
[2] AKFA Univ, Math, Milliy Bog St 264, Tashkent 111221, Uzbekistan
[3] Univ Geol Sci, Math, Univ St 14, Tashkent 100176, Uzbekistan
来源：
POSITIVITY | 2022年 / 26卷 / 03期
关键词：
Cayley tree; Gibbs measure; Kolmogorov's extension theorem; Model; Spin values; Convex; Compact; INTERFACES;
D O I：
10.1007/s11117-022-00900-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we show that the set of Gibbs measures for models with countable set of spin values is convex and compact. Also, by using analogue of Kolmogorov's extension theorem, we prove the set of Gibbs measures for the models is nonempty.
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页数：9
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