Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (2)
- Authors
- Khakimov, Rustam M.
- Contact information
- Khakimov, Rustam M.:Institute of Mathematics Do’rmon Yo’li str., 29, Tashkent, 100125 Uzbekistan;
- Keywords
- Cayley tree; configuration; HC-model; Gibbs measure; translation-invariant measures
- Abstract
We consider fertile Hard-Core (HC) models with activity parameter > 0 and four states on the Cayley tree of order two. It is known that there are three types of such models. In this paper for each of these models the uniqueness of the translation-invariant Gibbs measure is proved
- Pages
- 165–172
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/16803
Journal of Siberian Federal University. Mathematics & Physics / The Uniqueness of the Translation-invariant Gibbs Measure for Four State HC-models on a Cayley Tree
Full text (.pdf)