A strong law of large numbers for branching processes: almost sure spine events

DOI10.1214/ECP.v19-2641zbMath1312.60022arXiv1302.7199OpenAlexW2134704483MaRDI QIDQ743383

Matthew I. Roberts, Simon C. Harris

Publication date: 24 September 2014

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7199

zbMATH Keywords

branching processesstrong law of large numbersspine events

Mathematics Subject Classification ID

Strong limit theorems (60F15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

A law of large numbers for branching Markov processes by the ergodicity of ancestral lineages ⋮ On laws of large numbers in \(L^2\) for supercritical branching Markov processes beyond \(\lambda \)-positivity ⋮ Spines, skeletons and the strong law of large numbers for superdiffusions ⋮ Ancestral lineages and limit theorems for branching Markov chains in varying environment ⋮ An invariance principle for branching diffusions in bounded domains ⋮ Stochastic methods for the neutron transport equation. II: Almost sure growth ⋮ An exactly solvable continuous-time Derrida-Retaux model

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