On the genealogical structure of critical branching processes in a varying environment
Probability
2022-07-20 v4
Abstract
Critical branching processes in a varying environment behave much the same as critical Galton-Watson processes. In this note we like to confirm this finding with regard to the underlying genealogical structures. In particular, we consider the most recent common ancestor given survival and the corresponding reduced branching processes, in the spirit of Zubkov (1975) and Fleischmann and Siegmund-Schultze (1977).
Keywords
Cite
@article{arxiv.2102.08324,
title = {On the genealogical structure of critical branching processes in a varying environment},
author = {Götz Kersting},
journal= {arXiv preprint arXiv:2102.08324},
year = {2022}
}
Comments
version, as published in the Proc. Steklov Inst. Math