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On log-Sobolev inequalities for infinite lattice systems

✍ Scribed by Boguslaw Zegarlinski

Publisher: Springer
Year: 1990
Tongue: English
Weight: 428 KB
Volume: 20
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00398360

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✦ Synopsis

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".

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