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Ergodic properties for a class of generalized Fleming-Viot processes

発表形態:
招待講演・特別講演(学会シンポジウム等での講演を含む)
主要業績:
主要業績
単著・共著:
単著
発表年月:
2013年09月
DOI:
会議属性:
国際会議(国内開催を含む)
査読:
無し
リンク情報:
The pdf.file of talk

日本語フィールド

著者:
Kenji Handa
題名:
Ergodic properties for a class of generalized Fleming-Viot processes
発表情報:
Random Measures and Measure-Valued Processes, Sept. 8 - Sept. 13, BIRS, Banff
キーワード:
概要:
抄録:
We discuss a Markov jump process which is regarded as a variant of the Fleming-Viot process with parent-independent mutation. After identifying its unique stationary distribution, an ergodic property is shown for the generalized Fleming-Viot process. The proof is based on both the distinguished relationship to a measure-valued branching process with immigration whose jump mechanisms are governed by certain stable laws and the spectral gap estimate for the branching process.

英語フィールド

Author:
Kenji Handa
Title:
Ergodic properties for a class of generalized Fleming-Viot processes
Announcement information:
Random Measures and Measure-Valued Processes, Sept. 8 - Sept. 13, BIRS, Banff
An abstract:
We discuss a Markov jump process which is regarded as a variant of the Fleming-Viot process with parent-independent mutation. After identifying its unique stationary distribution, an ergodic property is shown for the generalized Fleming-Viot process. The proof is based on both the distinguished relationship to a measure-valued branching process with immigration whose jump mechanisms are governed by certain stable laws and the spectral gap estimate for the branching process.


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