Self-similar fragmentations derived from the stable tree I
成果类型：
Article
署名作者：
Miermont, G
署名单位：
Universite PSL; Ecole Normale Superieure (ENS); Sorbonne Universite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-003-0295-x
发表日期：
2003
页码：
423-454
关键词：
摘要：
The basic object we consider is a certain model of continuum random tree, called the stable tree. We construct a fragmentation process (F-(t),t greater than or equal to 0) out of this tree by removing the vertices located under height t. Thanks to a self-similarity property of the stable tree, we show that the fragmentation process is also self-similar. The semigroup and other features of the fragmentation are given explicitly. Asymptotic results are given, as well as a couple of related results on continuous-state branching processes.
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