Fertile Three State Hard-Core Models on a Cayley Tree

Details Fertile Three State Hard-Core Models on a Cayley Tree Fertile Three State Hard-Core Models on a Cayley Tree

2007-03-13

arxiv.org/abs/math-ph/0703039v1

Physics

Mathematical Physics

13 pages

Scientific paper

We consider nearest-neighbor fertile hard-core models, with three states, on
a homogeneous Cayley tree. It is known that there are four type of such models.
We investigate all of them and describe translation-invariant and periodic
hard-core Gibbs measures. Also we construct a continuum set of non-periodic
Gibbs measures.

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