Critical Galton-Watson branching processes with a countable set of types and infinite second moments

DOI10.1070/SM9402zbMath1470.60236arXiv2002.12627OpenAlexW3102619965MaRDI QIDQ5858145

Elena E. Dyakonova, Vladimir A. Vatutin, Valentin Alekseevich Topchiĭ

Publication date: 9 April 2021

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12627

zbMATH Keywords

survival probabilityregularly varying functionscritical Galton-Watson branching processes with countable set of typesinfinite second moments of offspring sizesYaglom-type limit theorem

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (4)

ON THE ASYMPTOTIC STRUCTURE OF NONCRITICAL MARKOV STOCHASTIC BRANCHING PROCESSES WITH CONTINUOUS TIME ⋮ Multitype branching processes in random environment ⋮ Recurrence property for Galton-Watson processes in which individuals have variable lifetimes ⋮ On transient phenomena in branching random processes with discrete time

Cites Work

• Critical multitype branching processes with infinite variance
• A pathwise approach to the extinction of branching processes with countably many types
• Extinction in lower Hessenberg branching processes with countably many types
• Linear-fractional branching processes with countably many types
• Ergodic properties of nonnegative matrices. I
• On multitype branching processes with \(\rho\leq1\)
• LIMIT THEOREMS FOR CRITICAL MARKOV BRANCHING PROCESSES WITH SEVERAL TYPES OF PARTICLES AND INFINITE SECOND MOMENTS
• Some limit theorems for positive recurrent branching Markov chains: I
• Extinction Probabilities of Branching Processes with Countably Infinitely Many Types
• A branching process with mean one and possibly infinite variance
• Further notes on branching processes with mean 1
• Regularly varying functions
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