On the equivalence of some eternal additive coalescents
Basdevant, Anne-Laure
Annales de l'I.H.P. Probabilités et statistiques, Tome 44 (2008), p. 1020-1037 / Harvested from Numdam
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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.

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.

Publié le : 2008-01-01
DOI : https://doi.org/10.1214/07-AIHP154
Classification:  60J25,  60G09 
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     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {44},
     year = {2008},
     pages = {1020-1037},
     doi = {10.1214/07-AIHP154},
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Basdevant, Anne-Laure. On the equivalence of some eternal additive coalescents. Annales de l'I.H.P. Probabilités et statistiques, Tome 44 (2008) pp. 1020-1037. doi : 10.1214/07-AIHP154. http://gdmltest.u-ga.fr/item/AIHPB_2008__44_6_1020_0/

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