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 HandaTitle:Ergodic properties for a class of generalized Fleming-Viot processesAnnouncement information:Random Measures and Measure-Valued Processes, Sept. 8 - Sept. 13, BIRS, BanffAn 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.