Isoperimetry for Gibbs measures

• 成果类型: Article
• 署名作者: Zegarlinski, B
• 署名单位: Imperial College London
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1008956693
• 发表日期: 2001
• 页码: 802-819
• 关键词: logarithmic sobolev inequality; dimensional lattice systems; one-phase region; glauber dynamics; equilibrium

摘要

We show that a strong mixing condition implies a Bakry-Bobkov-Ledoux inequality for a probability measure on infinite-dimensional space.