The logarithmic sobolev inequality for discrete spin systems on a lattice
โ Scribed by Daniel W. Stroock; Boguslaw Zegarlinski
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 885 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
๐ 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".
In this paper we will prove the logarithmic Sobolev inequality on free loop groups for various heat kernel measures which P. Malliavin (1989Malliavin ( , 1991, in ``Diffusion Process and Related Problems in Analysis (M. A. Pinsley, Ed.), Vol. I, Birkha user, Basel) constructed. Those measures are as