Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

On the equivalence of some eternal additive coalescents

Anne-Laure Basdevant

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In this paper, we study additive coalescents. Using their representation as fragmentation processes, we prove that the law of a large class of eternal additive coalescents is absolutely continuous with respect to the law of the standard additive coalescent on any bounded time interval.


Nous étudions dans ce papier les coalescents additifs. En utilisant leur représentation en tant que processus de fragmentation, nous prouvons que certains coalescents additifs éternels ont une loi absolument continue par rapport à la loi du coalescent additif standard sur n’importe quel intervalle de temps borné inférieurement.

Article information

Ann. Inst. H. Poincaré Probab. Statist. Volume 44, Number 6 (2008), 1020-1037.

First available in Project Euclid: 21 November 2008

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Zentralblatt MATH identifier

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

Additive coalescent Fragmentation process


Basdevant, Anne-Laure. On the equivalence of some eternal additive coalescents. Ann. Inst. H. Poincaré Probab. Statist. 44 (2008), no. 6, 1020--1037. doi:10.1214/07-AIHP154.

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