Some limit theorems for a particle system of single point catalytic branching random walks
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Publication:2644328
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
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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- Functional central limit theorems for random walks conditioned to stay positive
- Weak convergence to Brownian meander and Brownian excursion
- The longtime behavior of branching random walk in a catalytic medium
- A super-Brownian motion with a single point catalyst
- Limit processes for age-dependent branching particle systems
- The moment analysis of a branching random walk on a lattice with a single source
- A new approach to the single point catalytic super-Brownian motion
- Branching random walk in a catalytic medium. I: Basic equations
- 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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