Critical branching processes in a sparse random environment
Probability
2023-06-13 v1
Abstract
We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the critical case we investigate the survival probability and prove Yaglom-type limit theorems, that is, limit theorems for the size of population conditioned on the survival event.
Cite
@article{arxiv.2306.06730,
title = {Critical branching processes in a sparse random environment},
author = {Dariusz Buraczewski and Congzao Dong and Alexander Iksanov and Alexander Marynych},
journal= {arXiv preprint arXiv:2306.06730},
year = {2023}
}
Comments
13 pages