Dislocation measure of the fragmentation of a general L\'evy tree
Probability
2010-02-25 v4
Abstract
Given a general critical or sub-critical branching mechanism and its associated L\'evy continuum random tree, we consider a pruning procedure on this tree using a Poisson snake. It defines a fragmentation process on the tree. We compute the family of dislocation measures associated with this fragmentation. This work generalizes the work made for a Brownian tree [Abraham, Serlet] and for a tree without Brownian part [Abraham, Delmas].
Keywords
Cite
@article{arxiv.0903.4024,
title = {Dislocation measure of the fragmentation of a general L\'evy tree},
author = {Guillaume Voisin},
journal= {arXiv preprint arXiv:0903.4024},
year = {2010}
}