Population Size of a Critical Branching Process Evolving in an Unfavorable Environment

DOI10.1137/s0040585x97t991532zbMath1527.60069MaRDI QIDQ6069448

Vladimir A. Vatutin, Elena E. Dyakonova

Publication date: 14 November 2023

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

zbMATH Keywords

branching processsurvival probabilityunfavorable random environment

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Cites Work

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• Spitzer's condition and ladder variables in random walks
• Local behaviour of first passage probabilities
• On the Asymptotic Behavior of the Probability of Non-Extinction for Critical Branching Processes in a Random Environment
• Discrete Time Branching Processes in Random Environment
• The Distribution of the First Ladder Moment and Height and Fluctuation of a Random Walk

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