𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Note on the Modified Log-Sobolev Inequality

✍ 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.


πŸ“œ SIMILAR VOLUMES


A note on the Sobolev inequality
✍ Gabriele Bianchi; Henrik Egnell πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 293 KB
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".

The Log-Sobolev Inequality on Loop Space
✍ Fu-Zhou Gong; Zhi-Ming Ma πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 371 KB

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