Galton--Watson Branching Processes in a Random Environment I: Limit Theorems

DOI10.1137/S0040585X97980373zbMath1079.60080OpenAlexW1981983154MaRDI QIDQ4830855

Elena E. Dyakonova, Vladimir A. Vatutin

Publication date: 16 December 2004

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

Full work available at URL: https://doi.org/10.1137/s0040585x97980373

zbMATH Keywords

random walksharmonic functionsstable distributionssurvival probabilitycritical branching process

Mathematics Subject Classification ID

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

Related Items (10)

Multitype branching processes in random environment ⋮ Limit theorems for strongly and intermediately supercritical branching processes in random environment with linear fractional offspring distributions ⋮ How Many Families Survive for a Long Time? ⋮ Evolution of branching processes in a random environment ⋮ Conditional limit theorems for intermediately subcritical branching processes in random environment ⋮ Reduced multitype critical branching processes in random environment ⋮ Criticality for branching processes in random environment ⋮ Critical multitype branching processes in a random environment ⋮ Path to survival for the critical branching processes in a random environment ⋮ Asymptotic properties of multitype critical branching processes evolving in a random environment

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