Logarithmic Sobolev Inequalities for Two-Sided Birth-Death Processes

• 作 者: YANG Qingshan LIU Hong GAO Fuq
• 机 构: SchoolofMathematicsandStatistics,AcademyofMathematicsandSystemsScience
• 出 处: 武汉大学学报：自然科学英文版
• 发表日期: 2008年2期
• 关键词: 对数不等式 概率论 马尔可夫过程 不等式 logarithmic Sobolev inequality（LSI） two-sided birth-death
• 基金项目: Supported by the National Natural Science Foundation of China （10271091）

<正>In this paper, we study the logarithmic Sobolev inequalities for two-sided birth-death processes. An estimate of the logarithmic Sobolev constant α for a two-sided birth-death process is obtained by the Hardy-type inequality and a criteria for α