The Annals of Probability

Eternal additive coalescents and certain bridges with exchangeable increments

Jean Bertoin

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Abstract

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 interval induced by certain bridges with exchangeable increments. The analysis is made simple by an interpretation in terms of an aggregating server system.

Article information

Source
Ann. Probab., Volume 29, Number 1 (2001), 344-360.

Dates
First available in Project Euclid: 21 December 2001

Permanent link to this document
https://projecteuclid.org/euclid.aop/1008956333

Digital Object Identifier
doi:10.1214/aop/1008956333

Mathematical Reviews number (MathSciNet)
MR1825153

Zentralblatt MATH identifier
1019.60072

Subjects
Primary: 60J25: Continuous-time Markov processes on general state spaces 60G09: Exchangeability

Keywords
Additive coalescent fragmentation bridge with exchangeable increments

Citation

Bertoin, Jean. Eternal additive coalescents and certain bridges with exchangeable increments. Ann. Probab. 29 (2001), no. 1, 344--360. doi:10.1214/aop/1008956333. https://projecteuclid.org/euclid.aop/1008956333


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