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Eternal additive coalescents and certain bridges with exchangeable increments


Bertoin, Jean (2001). Eternal additive coalescents and certain bridges with exchangeable increments. The Annals of Probability, 29(1):344-360.

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.

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.

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11 citations in Web of Science®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Additive coalescent; fragmentation; bridge with exchangeable increments
Language:English
Date:2001
Deposited On:24 Jul 2013 08:18
Last Modified:07 Dec 2017 21:43
Publisher:Institute of Mathematical Statistics
ISSN:0091-1798
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1214/aop/1008956333
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1825153
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1019.60072

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