Cluster formation in a stepping-stone model with continuous, hierarchically structured sites
成果类型：
Article
署名作者：
Evans, SN; Fleischmann, K
署名单位：
Leibniz Association; Weierstrass Institute for Applied Analysis & Stochastics
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
发表日期：
1996
页码：
1926-1952
关键词：
摘要：
A stepping-stone model with site space a continuous, hierarchical group is constructed via duality with a system of (delayed) coalescing ''stable'' Levy processes, This model can be understood as a continuum Limit of discrete state-space, two-allele, genetics models with hierarchically structured resampling and migration. The existence of a process rescaling limit on suitably related large space and time scales is established and interpreted in terms of the dynamics of cluster formation. This paper was inspired by recent work of Klenke.