Gibbs measures for fertile hard-core models on the Cayley tree (Q292829)
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scientific article; zbMATH DE number 6590287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Gibbs measures for fertile hard-core models on the Cayley tree |
scientific article; zbMATH DE number 6590287 |
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Gibbs measures for fertile hard-core models on the Cayley tree (English)
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9 June 2016
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The author studies fertile hard-core models with positive activity parameter and four states on the Cayley tree. This paper is a continuation of previous works by the same author, in which the uniqueness of the translation-invariant Gibbs measure was proved for some graphs in case of a Cayley tree of order two. Here the same problem is studied for other types of graphs, in case of a Cayley tree of higher order, and the uniqueness of the Gibbs measure in all cases is discussed.
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Cayley tree
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configuration
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fertile graph
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hard-core model
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Gibbs measure
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translation-invariant measure
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