2 papers
math-ph2024
Extreme Gibbs measures for a Hard-Core-SOS model on Cayley trees
R. M. Khakimov, M. T. Makhammadaliev, U. A. Rozikov
We investigate splitting Gibbs measures (SGMs) of a three-state (wand-graph) hardcore SOS model on Cayley trees of order . Recently, this model was studied for the hing…
math-ph2023
Tranlation-invariant Gibbs measures for the Hard-Core model with a countable set of spin values
R. M. Khakimov, M. T. Makhammadaliev
In this paper, we study the Hard Core (HC) model with a countable set of spin values on a Cayley tree of order . This model is defined by a countable set of parame…