HA-Weakly Periodic p-Adic Generalized Gibbs Measures for the p-Adic Ising Model on the Cayley Tree of Order Two

被引：0

作者：

Rahmatullaev, Muzaffar ^{[1
]}

Abdukaxorova, Zulxumor ^{[2
]}

机构：

[1] Acad Sci, Inst Math, POB 100174,Univ St, Tashkent, Uzbekistan

[2] Namangan State Univ, POB 716019, Namangan, Uzbekistan

来源：

P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS | 2024年 / 16卷 / 03期

关键词：

p-adic numbers; p-adic Ising model; Gibbs measure; weakly periodic measure; phase transition; POTTS-MODEL;

D O I：

10.1134/S2070046624030038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we consider a p-adic analogue of the notion of weakly periodic Gibbs measures is introduced. For some normal subgroup of the group representation of the Cayley tree, the existence of such Gibbs measures is proved. We also study fixed points and their behaviour of the mapping which coincides with weakly periodic quantities of the functional equation. Moreover, the boundedness of such kinds of measures is established, which yields the occurrence of a phase transition.

引用

页码：233 / 263

页数：31

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