10 citations · 13 across the 3 of their papers we have counts for
3 papers
math-ph2016★ 3 cited
An extremality of the translation-invariant Gibbs measure for the HC-model on a Cayley tree
U. A. Rozikov, R. M. Khakimov
In this paper we study the extremality of translation-invariant Gibbs measure for the HC-model on a Cayley tree. It is known that for this model the translation-invariant measure i…
math-ph2015
Uniqueness of the translation-invariant Gibbs measure for Hard-Core models with four-states on the Cayley tree
R. M. Khakimov
We consider fertile HC-models with four-states and the parametre activity on a Cayley tree. It is known that three types of such models exist. For each of these models we prove uni…
math-ph2014★ 10 cited
Translation-invariant Gibbs measures for the fertile HC-models with three states on a Cayley tree
Rustam Khakimov
We consider fertile HC-models with three states on a Cayley tree. It is known that four types of such models exist. For these models we describe the translation-invarinat Gibbs mea…