AN ANALYTIC APPROACH TO FLEMING-VIOT PROCESSES WITH INTERACTIVE SELECTION

• 成果类型: Article
• 署名作者: OVERBECK, L; ROCKNER, M; SCHMULAND, B
• 署名单位: University of Alberta
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988374
• 发表日期: 1995
• 页码: 1-36
• 关键词: markov-processes

摘要

We study a class of (nonsymmetric) Dirichlet forms (E, D(E)) having a space of measures as state space E and derive some general results about them. We show that under certain conditions they ''generate'' diffusion processes M. In particular, if M is ergodic and (E, D(E)) is symmetric w.r.t. quasi-every starting point, the large deviations of the empirical distribution of M are governed by E. We apply all of this to construct Fleming-Viot processes with interactive selection and prove some results on their behavior. Among other things, we show some support properties for these processes using capacitary methods.