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The log-Sobolev inequality for weakly coupled lattice fields

โœ Scribed by Nobuo Yoshida

Publisher
Springer
Year
1999
Tongue
English
Weight
242 KB
Volume
115
Category
Article
ISSN
1432-2064

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๐Ÿ“œ SIMILAR VOLUMES

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".