A family of nonisomorphic Markov random fields (Q1881748)
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scientific article; zbMATH DE number 2108126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A family of nonisomorphic Markov random fields |
scientific article; zbMATH DE number 2108126 |
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A family of nonisomorphic Markov random fields (English)
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15 October 2004
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The author studies a family of \(Z^2\) Markov random fields introduced recently. It has completely positive entropy but is not isomorphic to Bernoulli shifts. It is shown that the most distinct members of this family are not isomorphic. Therefore there exists an uncountable family of Markov random fields with the same entropy in which no two distinct members are isomorphic.
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Markov random fields
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Bernoulli shifts
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completely positive entropy
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isomorphism
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