Entropy inequalities for unbounded spin systems

• 成果类型: Article
• 署名作者: Pra, PD; Paganoni, AM; Posta, G
• 署名单位: Polytechnic University of Milan
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 1959-1976
• 关键词: logarithmic sobolev inequalities; lattice

摘要

We consider nonconservative, reversible spin systems, with unbounded discrete spins. We show that for a class of these dynamics in a high temperature regime, the relative entropy with respect to the equilibrium distribution decays exponentially in time, although the logarithmic-Sobolev inequality fails. To this end we prove a weaker modification of the logarithmic-Sobolev inequality.