Asymptotic properties of multitype critical branching processes evolving in a random environment

DOI10.1515/DMA.2010.009zbMath1205.60152OpenAlexW1987360720MaRDI QIDQ3064477

Elena E. Dyakonova, Vladimir A. Vatutin

Publication date: 22 December 2010

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma.2010.009

zbMATH Keywords

random environmentfunctional limit theoremmultitype critical branching processes

Mathematics Subject Classification ID

Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (7)

Multitype branching processes in random environment ⋮ Multitype Branching Processes in Random Environment: Probability of Survival for the Critical Case ⋮ The survival probability for a class of multitype subcritical branching processes in random environment ⋮ Multitype subcritical branching processes in a random environment ⋮ Evolution of branching processes in a random environment ⋮ Reduced multitype critical branching processes in random environment ⋮ Multitype weakly subcritical branching processes in random environment

Cites Work

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• Galton--Watson Branching Processes in a Random Environment I: Limit Theorems
• Critical multitype branching processes in a random environment
• On Branching Processes in Random Environments
• Multitype branching processes in random environments
• On Branching Processes with Random Environments: I: Extinction Probabilities
• The Distribution of the First Ladder Moment and Height and Fluctuation of a Random Walk
• Galton--Watson Branching Processes in a Random Environment. II: Finite-dimensional Distributions
• On multitype branching processes in a random environment

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