On log-Sobolev inequalities for infinite
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Boguslaw Zegarlinski
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Article
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1990
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Springer
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English
β 428 KB
For a system on an infinite lattice, we show that a Gibbs measure tt for a smooth local specification ~ = {EA}A~ ~ satisfying the Dobrushin uniqueness theorem also satisfies log-Sobolev inequality, provided it is satisfied for one-dimensional measures E, e6".