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Bogoliubov inequalities for infinite systems

✍ Scribed by J. C. Garrison; J. Wong


Publisher
Springer
Year
1972
Tongue
English
Weight
268 KB
Volume
26
Category
Article
ISSN
0010-3616

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On log-Sobolev inequalities for infinite
✍ Boguslaw Zegarlinski πŸ“‚ Article πŸ“… 1990 πŸ› Springer 🌐 English βš– 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".