On the validity of the log-Sobolev inequality for symmetric Fleming-Viot operators

• 成果类型: Article
• 署名作者: Stannat, W
• 署名单位: University of Bielefeld
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1019160256
• 发表日期: 2000
• 页码: 667-684
• 关键词: population-genetics

摘要

We prove that Fleming-Viot operators with parent-independent mutation satisfy a logarithmic Sobolev inequality if and only if the set of types is finite.