Some limit theorems for a particle system of single point catalytic branching random walks

DOI10.1007/s10114-005-0757-4zbMath1129.60079OpenAlexW2395852227MaRDI QIDQ2644328

Jie Xiong, Vladimir A. Vatutin

Publication date: 31 August 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0757-4

zbMATH Keywords

scaling limitrenewal equationbranching particle system

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Fluctuations of the rightmost particle in the catalytic branching Brownian motion ⋮ First hitting time of a high level by a catalytic branching walk ⋮ A fluctuation type limit theorem for Jiřina processes with immigration ⋮ Critical branching random walks on low-dimensional lattices ⋮ Fluctuation limits of the single point catalytic super-stable processes ⋮ Subcritical catalytic branching random walk with finite or infinite variance of offspring number ⋮ Limiting distribution of particles near the frontier in the catalytic branching Brownian motion

Cites Work

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• On the Structure of Entrance Laws in Discrete Spatial Critical Branching Processes
• Asymptotics of branching symmetric random walk on the lattice with a single source
• A limit theorem for a supercritical branching random walk on $ \mathbb Z^d$ with a single source

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