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Quasi-invariance and reversibility in the Fleming-Viot process

発表形態:
原著論文
主要業績:
主要業績
単著・共著:
単著
発表年月:
2002年
DOI:
会議属性:
指定なし
査読:
有り
リンク情報:
Springer Link

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 Handa
Title:
Quasi-invariance and reversibility in the Fleming-Viot process
Announcement information:
Probab. Theory Related Fields Vol: 122 Issue: 4 Page: 545-566
An 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.


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