An Almost-Sure Renewal Theorem for Branching Random Walks on the Line

DOI10.1239/jap/1285335411zbMath1252.60088OpenAlexW2152856977MaRDI QIDQ4933201

Matthias Meiners

Publication date: 12 October 2010

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

Full work available at URL: https://doi.org/10.1239/jap/1285335411

zbMATH Keywords

martingalerenewal theorembranching random walkalmost-sure convergence

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

Related Items (1)

Rate of convergence in the law of large numbers for supercritical general multi-type branching processes

Cites Work

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• The functional equation of the smoothing transform
• General branching processes as Markov fields
• Seneta-Heyde norming in the branching random walk
• Moments for first-passage and last-exit times, the minimum, and related quantities for random walks with positive drift
• On the convergence of supercritical general (C-M-J) branching processes
• On the lattice case of an almost-sure renewal theorem for branching random walks
• Measure change in multitype branching
• Lacunarity of self-similar and stochastically self-similar sets

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