The supercritical Galton-Watson process in varying environments

DOI10.1016/0304-4149(92)90025-LzbMath0758.60088OpenAlexW2120986701MaRDI QIDQ1193398

J. C. D'Souza, J. D. Biggins

Publication date: 27 September 1992

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90025-l

zbMATH Keywords

rates of growthvarying environmentssupercritical Galton-Watson process

Mathematics Subject Classification ID

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

Related Items (20)

Multi-type branching in varying environment ⋮ Defective Galton-Watson processes in a varying environment ⋮ Limiting behaviour for superadditive bisexual Galton-Watson processes in varying environments ⋮ Measure change in multitype branching ⋮ Random fractals and tree-indexed Markov chains ⋮ A unifying approach to branching processes in a varying environment ⋮ Limit distributions of branching Markov chains ⋮ Bounds on the limiting distribution of a branching process with varying environment ⋮ The strong Malthusian behavior of growth-fragmentation processes ⋮ The cone percolation on \(\mathbb{T}_{d}\) ⋮ Dimensions of supercritical branching processes in varying environments ⋮ The disk-percolation model on graphs ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Trees with non-regular fractal boundary ⋮ Extremum of a time-inhomogeneous branching random walk ⋮ The cone percolation model on Galton-Watson and on spherically symmetric trees ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ The segregated \(\Lambda\)-coalescent ⋮ The supercritical Galton-Watson process in varying environments -- Seneta-Heyde norming ⋮ An inhomogeneous controlled branching process

Cites Work

• Unnamed Item
• Limit theorems for the supercritical Galton-Watson process in varying environments
• Almost sure convergence of branching processes in varying and random environments
• A GALTON-WATSON BRANCHING PROCESS IN VARYING ENVIRONMENTS WITH ESSENTIALLY CONSTANT OFFSPRING MEANS AND TWO RATES OF GROWTH1
• On the asymptotic behaviour of branching processes with infinite mean
• On infinite composition products of probability generating functions

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