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Gibbs measures for a Hard-Core model with a countable set of states

Gibbs measures for a Hard-Core model with a countable set of states

In this paper, we focus on studying the non-probability Gibbs measures for a Hard-Core (HC) model on a Cayley tree of order [Formula: see text], where the set of integers [Formula: see text] is the set of spin values. It is well known that each Gibbs measure, whether it be …