Critical branching processes in a random environment with immigration: the size of the only surviving family

DOI10.1134/S0081543822010230zbMath1506.60098arXiv2109.13315MaRDI QIDQ2135145

Charline Smadi, Vladimir A. Vatutin

Publication date: 4 May 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13315

zbMATH Keywords

branching processimmigrationrandom environmentconditioned random walk

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Cites Work

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• Limit theorems for weakly subcritical branching processes in random environment
• Criticality for branching processes in random environment
• Subcritical branching processes in random environment with immigration stopped at zero
• Critical branching processes in random environment with immigration: survival of a single family
• Evolution of branching processes in a random environment
• Conditional limit theorems for intermediately subcritical branching processes in random environment
• Propriétés asymptotiques des processus de branchement en environnement aléatoire
• The Survival Probability of a Critical Branching Process in a Random Environment
• Branching processes in a random environment with immigration stopped at zero
• Subcritical Branching Processes in Random Environment with Immigration: Survival of a Single Family
• Discrete Time Branching Processes in Random Environment

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