Fertile Three State Hard-Core Models on a Cayley Tree
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-p...
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| creator | Rozikov, U. A Shoyusupov, Sh. A |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.math-ph/0703039 |
| format | Article |
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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
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We investigate all of them and describe translation-invariant and periodic
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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.</abstract><doi>10.48550/arxiv.math-ph/0703039</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Mathematics - Probability Physics - Mathematical Physics |
| title | Fertile Three State Hard-Core Models on a Cayley Tree |
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