๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The Log-Sobolev Inequality for Unbounded Spin Systems

โœ Scribed by T. Bodineau; B. Helffer

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
123 KB
Volume
166
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On log-Sobolev inequalities for infinite
On log-Sobolev inequalities for infinite lattice systems
โœ Boguslaw Zegarlinski ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 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
The Log-Sobolev Inequality on Loop Space over a Compact Riemannian Manifold
โœ Fu-Zhou Gong; Zhi-Ming Ma ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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