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On the genealogical structure of critical branching processes in a varying environment - MaRDI portal

On the genealogical structure of critical branching processes in a varying environment

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Publication:6360793

DOI10.1134/S0081543822010151zbMATH Open1511.60126arXiv2102.08324MaRDI QIDQ6360793

Götz-Dietrich Kersting

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).












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