Growth-fragmentation process embedded in a planar Brownian excursion
成果类型：
Article
署名作者：
Aidekon, Elie; Da Silva, William
署名单位：
Universite Paris Cite; Sorbonne Universite; Institut Universitaire de France; Sorbonne Universite; Universite Paris Cite
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-022-01119-y
发表日期：
2022
页码：
125-166
关键词：
摘要：
The aim of this paper is to present a self-similar growth-fragmentation process linked to a Brownian excursion in the upper half-plane H, obtained by cutting the excursion at horizontal levels. We prove that the associated growth-fragmentation is related to one of the growth-fragmentation processes introduced by Bertoin, Budd, Curien and Kortchemski in (Bertoin et al. Probab Theory Relat Field 172:663-724, 2018).
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