On a decomposable branching process with two types of particles

DOI10.1134/S0081543816060018zbMath1358.60086OpenAlexW2535777546MaRDI QIDQ511433

Valeriy I. Afanasiev

Publication date: 15 February 2017

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

Full work available at URL: https://doi.org/10.1134/s0081543816060018

zbMATH Keywords

branching processlimit theoremdecomposability

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (10)

Extinction of decomposable branching processes ⋮ A conditional functional limit theorem for decomposable branching processes with two types of particles ⋮ A subcritical decomposable branching process in a mixed environment ⋮ Limit theorems for bounded branching processes ⋮ Reduced multitype critical branching processes in random environment ⋮ Decomposable branching processes with two types of particles ⋮ A functional limit theorem for decomposable branching processes with two particle types ⋮ Условная предельная теорема для близких к критическим ветвящихся процессов с финальным типом частиц ⋮ A Conditional Functional Limit Theorem for a Decomposable Branching Process ⋮ Reduced processes evolving in a mixed environment

Cites Work

• Functional limit theorems for the decomposable branching process with two types of particles
• Decomposable branching processes with a fixed extinction moment
• Limit theorems for some functionals of certain Galton-Watson branching processes
• Convergence of critical Galton-Watson branching processes

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