日本語フィールド
著者:Kenji Handa題名:Quasi-invariance and reversibility in the Fleming-Viot process発表情報:Probab. Theory Related Fields 巻: 122 号: 4 ページ: 545-566キーワード:概要:抄録:Fleming–Viot processes with mutation, selection and recombination are studied.
Their reversible distributions are shown to be 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 be reversible, but also identify the reversible distributions in the reversible case.英語フィールド
Author:Kenji HandaTitle:Quasi-invariance and reversibility in the Fleming-Viot processAnnouncement information:Probab. Theory Related Fields Vol: 122 Issue: 4 Page: 545-566An abstract:Fleming–Viot processes with mutation, selection and recombination are studied.
Their reversible distributions are shown to be 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 be reversible, but also identify the reversible distributions in the reversible case.