Critical branching random walks on low-dimensional lattices

DOI10.1515/DMA.2009.011zbMath1236.60084OpenAlexW2032973625MaRDI QIDQ3225867

E. B. Yarovaya

Publication date: 23 March 2012

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

Full work available at URL: https://doi.org/10.1515/dma.2009.011

zbMATH Keywords

branching random walkintegral and differential equations for dynamicslattices of any dimensionsurvival of the population of particles

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Limit theorems in probability theory (60F99)

Related Items (6)

Survival analysis of particle populations in branching random walks ⋮ Models of branching walks and their use in the reliability theory ⋮ Limit distributions arising in branching random walks on integer lattices ⋮ Limit distributions for the number of particles in branching random walks ⋮ Subcritical catalytic branching random walk with finite or infinite variance of offspring number ⋮ The monotonicity of the probability of return into the source in models of branching random walks

Cites Work

• Use of spectral methods to study branching processes with diffusion in a noncompact phase space
• A new approach to the single point catalytic super-Brownian motion
• Branching random walk in a catalytic medium. I: Basic equations
• Some limit theorems for a particle system of single point catalytic branching random walks
• A limit theorem for critical branching of a random walk on $ \mathbb Z^d$ with a single source
• Limit Theorem for Critical Catalytic Branching Random Walks

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