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Log-Sobolev inequalities for infinite one dimensional lattice systems

โœ Scribed by Boguslaw Zegarlinski

Publisher
Springer
Year
1990
Tongue
English
Weight
661 KB
Volume
133
Category
Article
ISSN
0010-3616

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On log-Sobolev inequalities for infinite
On log-Sobolev inequalities for infinite lattice systems
โœ Boguslaw Zegarlinski ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 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".