2 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.PR2023
Gibbs measures for a Hard-Core model with a countable set of states
U. Rozikov, R. Khakimov, M. T. Makhammadaliev
In this paper, we focus on studying non-probability Gibbs measures for a Hard Core (HC) model on a Cayley tree of order , where the set of integers is the set…