Infinitely divisible Gibbs states (Q801411)
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scientific article; zbMATH DE number 3878138
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely divisible Gibbs states |
scientific article; zbMATH DE number 3878138 |
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Infinitely divisible Gibbs states (English)
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1984
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The author explores a notion of infinite divisibility for Gibbs states which is based on the structure of the configuration space for lattice systems as a direct product of cyclic groups of order two. Many simple examples are given to show that such infinitely divisible measures do exist. Partial solutions to several problems are given. It is shown that infinite divisibility is a sufficient condition for an interesting correlation inequality.
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infinite divisibility
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Gibbs states
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correlation inequality
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0.8886528
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0.8653544
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0.8574451
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0.85458326
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