Regenerative real trees
成果类型：
Article
署名作者：
Weill, Mathilde
署名单位：
Universite PSL; Ecole Normale Superieure (ENS)
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/009117907000000187
发表日期：
2007
页码：
2091-2121
关键词：
摘要：
In this work, we give a description of all a-finite measures on the space of rooted compact R-trees which satisfy a certain regenerative property. We show that any infinite measure which satisfies the regenerative property is the law of a Levy tree, that is, the law of a tree-valued random variable that describes the genealogy of a population evolving according to a continuous-state branching process. On the other hand, we prove that a probability measure with the regenerative property must be the law of the genealogical tree associated with a continuous-time discrete-state branching process.