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.
Mots-clés : additive coalescent, fragmentation process
@article{AIHPB_2008__44_6_1020_0, author = {Basdevant, Anne-Laure}, title = {On the equivalence of some eternal additive coalescents}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {1020--1037}, publisher = {Gauthier-Villars}, volume = {44}, number = {6}, year = {2008}, doi = {10.1214/07-AIHP154}, mrnumber = {2469333}, zbl = {1203.60108}, language = {en}, url = {http://www.numdam.org/articles/10.1214/07-AIHP154/} }
TY - JOUR AU - Basdevant, Anne-Laure TI - On the equivalence of some eternal additive coalescents JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2008 SP - 1020 EP - 1037 VL - 44 IS - 6 PB - Gauthier-Villars UR - http://www.numdam.org/articles/10.1214/07-AIHP154/ DO - 10.1214/07-AIHP154 LA - en ID - AIHPB_2008__44_6_1020_0 ER -
%0 Journal Article %A Basdevant, Anne-Laure %T On the equivalence of some eternal additive coalescents %J Annales de l'I.H.P. Probabilités et statistiques %D 2008 %P 1020-1037 %V 44 %N 6 %I Gauthier-Villars %U http://www.numdam.org/articles/10.1214/07-AIHP154/ %R 10.1214/07-AIHP154 %G en %F AIHPB_2008__44_6_1020_0
Basdevant, Anne-Laure. On the equivalence of some eternal additive coalescents. Annales de l'I.H.P. Probabilités et statistiques, Tome 44 (2008) no. 6, pp. 1020-1037. doi : 10.1214/07-AIHP154. http://www.numdam.org/articles/10.1214/07-AIHP154/
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