On log-Sobolev inequalities for infinite lattice systems |
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Authors: | Boguslaw Zegarlinski |
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Institution: | (1) Institute of Mathematics, Ruhr-University, Bochum, Germany |
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Abstract: | For a system on an infinite lattice, we show that a Gibbs measure for a smooth local specification ={E
}![Lambda](/content/xg036l6407075208/xxlarge923.gif) ![isin](/content/xg036l6407075208/xxlarge8712.gif) satisfying the Dobrushin uniqueness theorem also satisfies log-Sobolev inequality, provided it is satisfied for one-dimensional measures E
l
![isin](/content/xg036l6407075208/xxlarge8712.gif) . |
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Keywords: | 47D05 46E30 82A35 |
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