Fertile Three State Hard-Core Models on a Cayley Tree

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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.
13 pages

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Mathematical Physics, Probability, 82C26

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http://salesiana.dossiersoluciones.com/handle/123456789/125592

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0703039
 http://arxiv.org/abs/math-ph/0703039

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arXiv