Coupling and ergodic theorems for Fleming-Viot processes

• 成果类型: Article
• 署名作者: Ethier, SN; Kurtz, TG
• 署名单位: Utah System of Higher Education; University of Utah; University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 1998
• 页码: 533-561
• 关键词: measure-valued diffusion; recurrent markov-chains; MODEL

摘要

Fleming-Viot processes are probability-measure-valued diffusion processes that can be used as stochastic models in population genetics. Here we use duality methods to prove ergodic theorems for Fleming-Viot processes, including those with recombination. Coupling methods are also used to establish ergodicity of Fleming-Viot processes, first without and then with selection. A special type of selection known as symmetric overdominance is treated by other methods.