A phase transition for the heights of a fragmentation tree

Details A phase transition for the heights of a fragmentation tree A phase transition for the heights of a fragmentation tree

2009-05-21

arxiv.org/abs/0905.3545v1

Mathematics

Probability

Scientific paper

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.

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