Existence, uniqueness and ratio decomposition for Gibbs states via duality (Q2716655)
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scientific article; zbMATH DE number 1599261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness and ratio decomposition for Gibbs states via duality |
scientific article; zbMATH DE number 1599261 |
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Existence, uniqueness and ratio decomposition for Gibbs states via duality (English)
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7 June 2002
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Gibbs states
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subshift of finite type
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invariant measure
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0.89216256
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0.89000785
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0.8743624
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0.87299925
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0.87278223
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0.87258154
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0.86952823
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The paper contains an elementary proof of existence and uniqueness of Gibbs states for Hölder weight systems on subshifts of finite type. First, a measure with prescribed Jacobian is constructed using an approach by Paterson, then the notion of duality for subshifts is used to produce an invariant measure.
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