On log-Sobolev inequalities for infinite lattice systems |
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Authors: | Boguslaw Zegarlinski |
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Affiliation: | (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} satisfying the Dobrushin uniqueness theorem also satisfies log-Sobolev inequality, provided it is satisfied for one-dimensional measures El. |
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Keywords: | 47D05 46E30 82A35 |
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