p-adic Gibbs measures for the hard core model with three states on the Cayley tree

被引：8

作者：

Khakimov, O. N. ^{[1
]}

机构：

[1] Acad Sci Uzbekistan Republ, Inst Math & Informat Technol, Tashkent, Uzbekistan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2013年 / 177卷 / 01期

关键词：

Cayley tree; configuration; Gibbs measure; hard core G-model; translation-invariant measure; p-adic number; BETHE LATTICE; POTTS-MODEL;

D O I：

10.1007/s11232-013-0107-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study p-adic hard core models with three states on the Cayley tree. It is known that there are four types of such models. We find conditions that must be imposed on the order k of the Cayley tree and on the prime p for a translation-invariant p-adic Gibbs measure to exist.

引用

页码：1339 / 1351

页数：13

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