On the genealogical structure of critical branching processes in a varying environment
From MaRDI portal
Publication:6360793
DOI10.1134/S0081543822010151zbMATH Open1511.60126arXiv2102.08324MaRDI QIDQ6360793
Publication date: 16 February 2021
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).
Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
This page was built for publication: On the genealogical structure of critical branching processes in a varying environment