Fertile Three State Hard-Core Models on a Cayley Tree
Mathematical Physics
2007-05-23 v1 math.MP
Probability
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0703039,
title = {Fertile Three State Hard-Core Models on a Cayley Tree},
author = {U. A. Rozikov and Sh. A. Shoyusupov},
journal= {arXiv preprint arXiv:math-ph/0703039},
year = {2007}
}
Comments
13 pages