Logarithmic Sobolev inequality for zero-range dynamics

• 成果类型: Article
• 署名作者: Pra, PD; Posta, G
• 署名单位: University of Padua; Polytechnic University of Milan
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117905000000332
• 发表日期: 2005
• 页码: 2355-2401
• 关键词: glauber dynamics; spin systems; spectral gap; kawasaki

摘要

We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter L grows as L-2.