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Nash and log-Sobolev inequalities for hypoelliptic operators

✍ Scribed by Feng-Yu Wang


Publisher
Springer
Year
2008
Tongue
English
Weight
213 KB
Volume
128
Category
Article
ISSN
0025-2611

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On log-Sobolev inequalities for infinite
✍ Boguslaw Zegarlinski 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 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".