A Note on the Modified Log-Sobolev Inequality
β Scribed by Ioannis Papageorgiou
- Publisher
- Springer Netherlands
- Year
- 2010
- Tongue
- English
- Weight
- 325 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0926-2601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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".
We obtain a log-Sobolev inequality with a neat and explicit potential for the gradient on a based loop space over a compact Riemannian manifold. The potential term relies only on the curvature of the manifold and the Hessian of the heat kernel, and is L p -integrable for all p 1. The log-Sobolev ine