Self-similar growth-fragmentations as scaling limits of Markov branching processes
Probability
2019-12-10 v2
Abstract
We provide explicit conditions, in terms of the transition kernel of its driving particle, for a Markov branching process to admit a scaling limit toward a self-similar growth-fragmentation with negative index. We also derive a scaling limit for the genealogical embedding considered as a compact real tree.
Keywords
Cite
@article{arxiv.1711.06675,
title = {Self-similar growth-fragmentations as scaling limits of Markov branching processes},
author = {Benjamin Dadoun},
journal= {arXiv preprint arXiv:1711.06675},
year = {2019}
}
Comments
18 pages, 1 figure; published in JoTP