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.
Publié le : 2001-02-14
Classification:
Additive coalescent,
fragmentation,
bridge with exchangeable increments,
60J25,
60G09
@article{1008956333,
author = {Bertoin, Jean},
title = {Eternal additive coalescents and certain bridges with exchangeable
increments},
journal = {Ann. Probab.},
volume = {29},
number = {1},
year = {2001},
pages = { 344-360},
language = {en},
url = {http://dml.mathdoc.fr/item/1008956333}
}
Bertoin, Jean. Eternal additive coalescents and certain bridges with exchangeable
increments. Ann. Probab., Tome 29 (2001) no. 1, pp. 344-360. http://gdmltest.u-ga.fr/item/1008956333/