Eternal additive coalescents and certain bridges with exchangeable increments

• 成果类型: Article
• 署名作者: Bertoin, J
• 署名单位: Universite Paris Cite; Sorbonne Universite; Universite Paris Cite; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1008956333
• 发表日期: 2001
• 页码: 344-360
• 关键词: excursions

摘要

Aldous and Pitman have studied the asymptotic behavior of the additive coalescent processes using a nested family random forests: derived by logging certain inhomogeneous continuum random trees. Here we propose a different approach based on partitions of the unit inter val induced by certain bridges with exchangeable increments. The analysis is made simple by an interpretation in terms of an aggregating server system.