On the genealogical structure of critical branching processes in a varying environment
arXiv:2102.08324 · doi:10.1134/S0081543822010151
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).
arXiv commentversion, as published in the Proc. Steklov Inst. Math