Quasi-invariance and reversibility in the Fleming-Viot process
成果类型：
Article
署名作者：
Handa, K
署名单位：
Saga University
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s004400100178
发表日期：
2002
页码：
545-566
关键词：
摘要：
Fleming-Viot processes with mutation, selection and recombination are studied. Their reversible distributions are shown to he characterized as quasi-invariant measures with a cocycle given in terms of the mutation operator, the selection intensity, and the recombination kernel. By using this, we derive not only a necessary and sufficient condition for the Fleming-Viot process to he reversible, but also identify the reversible distributions in the reversible case.