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 $\mathbb{Z}$ of spin values on a Cayley tree of order $k=2$. This model is defined by a countable set of parame…