The Initial Evolution Stage of a Weakly Subcritical Branching Process in a Random Environment

DOI10.1137/S0040585X97T989684zbMath1432.60097OpenAlexW3006178260MaRDI QIDQ5216288

Elena E. Dyakonova, Vladimir A. Vatutin

Publication date: 17 February 2020

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

Full work available at URL: https://doi.org/10.1137/s0040585x97t989684

zbMATH Keywords

limit theoremrandom environmentrandom walkchange of measuresweakly subcritical branching process

Mathematics Subject Classification ID

Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17)

Related Items (3)

Intermediately subcritical branching process in a random environment: the initial stage of the evolution ⋮ Critical branching processes in random environment and Cauchy domain of attraction ⋮ On transient phenomena in branching random processes with discrete time

Cites Work

• Limit theorems for weakly subcritical branching processes in random environment
• Invariance principles for random walks conditioned to stay positive
• Local probabilities for random walks conditioned to stay positive
• Normalized excursion, meander and bridge for stable Lévy processes
• Criticality for branching processes in random environment
• Local behaviour of first passage probabilities
• Limit theorems for a moderately subcritical branching process in a random environment
• Path to survival for the critical branching processes in a random environment
• Discrete Time Branching Processes in Random Environment

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