Recurrence of Ancestral Lines and Offspring Trees in Time Stationary Branching Populations

DOI10.1002/mana.3211850112zbMath0873.60060OpenAlexW1998633097MaRDI QIDQ4340570

Rainer Siegmund-Schultze, Anton Wakolbinger, Klaus Matthes

Publication date: 3 July 1997

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211850112

zbMATH Keywords

genealogybranching particle systemequilibrium distributionsrecurrence properties

Mathematics Subject Classification ID

Random fields (60G60) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

• Systems of independent Markov chains
• Critical dimension for a model of branching in a random medium
• Equilibrium Distributions of Age Dependent Galton Watson Processes, I
• Stabilities and instabilities in population dynamics
• Stability of Critical Cluster Fields
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