Subcritical catalytic branching random walk with finite or infinite variance of offspring number

DOI10.1134/S0081543813060060zbMath1307.60116arXiv1212.1381MaRDI QIDQ2446214

Ekaterina Vladimirovna Bulinskaya

Publication date: 16 April 2014

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

Full work available at URL: https://arxiv.org/abs/1212.1381

zbMATH Keywords

integral equationsbranching random walkrandom offspring number

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Systems of linear integral equations (45F99)

Related Items (4)

Spread of a catalytic branching random walk on a multidimensional lattice ⋮ Complete Classification of Catalytic Branching Processes ⋮ Finiteness of hitting times under taboo ⋮ Fluctuations of the Propagation Front of a Catalytic Branching Walk

Cites Work

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• Limit distributions arising in branching random walks on integer lattices
• Some limit theorems for a particle system of single point catalytic branching random walks
• Catalytic branching random walks in ℤ d with branching at the origin
• Catalytic Branching Random Walk on a Two-Dimensional Lattice
• Critical branching random walks on low-dimensional lattices
• Asymptotics of branching symmetric random walk on the lattice with a single source
• On a test for exponentiality against Laplace order dominance

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