3 papers
math-ph2024
Alternative Gibbs measure for fertile three-state Hard-Core models on a Cayley tree
Rustamjon Khakimov, Muhtorjon Makhammadaliev, Kamola Umrzakova
We consider fertile three-state Hard-Core (HC) models with the activity parameter on a Cayley tree. It is known that there exist four types of such models: "wrench"\,, "wand"…
math-ph2020
Periodic Gibbs measures for three-state hard-core models in the case Wand
R. M. Khakimov, K. O. Umirzakova
We consider fertile three-state Hard-Core (HC) models with the activity parameter on a Cayley tree. It is known that there exist four types of such models: wrench, wand, hing…
math-ph2017
Weakly periodic Gibbs measures for two and three state HC models on a Cayley tree
R. M. Khakimov, G. T. Madgoziyev
In this paper we study two and three state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove…