Branching random walk in varying environments

DOI10.2307/1426526zbMath0482.60078OpenAlexW4245669263MaRDI QIDQ3940605

Fima C. Klebaner

Publication date: 1982

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1426526

zbMATH Keywords

branching random walkmean square convergenceage-dependent branching processescentral limit analogues

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (13)

Exact convergence rates for the distribution of particles in branching random walks ⋮ Asymptotic expansions in the central limit theorem for a branching Wiener process ⋮ Branching processes. II ⋮ On large-deviation probabilities for the empirical distribution of branching random walks with heavy tails ⋮ Berry-Esseen bound and Cramér moderate deviation expansion for a supercritical branching random walk ⋮ Moderate deviation probabilities for empirical distribution of the branching random walk ⋮ The central limit theorem for the supercritical branching random walk, and related results ⋮ Unnamed Item ⋮ A note on large deviation probabilities for empirical distribution of branching random walks ⋮ Exact convergence rate of the local limit theorem for branching random walks on the integer lattice ⋮ On large deviation probabilities for empirical distribution of supercritical branching random walks with unbounded displacements ⋮ Exact convergence rates in central limit theorems for a branching random walk with a random environment in time ⋮ Exact convergence rate in the local central limit theorem for a lattice branching random walk on \(\mathbb{Z}^d\)

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