A phase transition for the heights of a fragmentation tree
Probability
2009-05-22 v1
Abstract
We provide information about the asymptotic regimes for a homogeneous fragmentation of a finite set. We establish a phase transition for the asymptotic behaviours of the shattering times, defined as the first instants when all the blocks of the partition process have cardinality less than a fixed integer. Our results may be applied to the study of certain random split trees.
Keywords
Cite
@article{arxiv.0905.3545,
title = {A phase transition for the heights of a fragmentation tree},
author = {Adrien Joseph},
journal= {arXiv preprint arXiv:0905.3545},
year = {2009}
}