Some results about multidimensional branching processes with random environments

DOI10.1214/aop/1176996659zbMath0293.60078OpenAlexW2089009640MaRDI QIDQ1212314

Norman L. Kaplan

Publication date: 1974

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176996659

Mathematics Subject Classification ID

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

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Central limit theorem for a critical multitype branching process in random environments ⋮ Probabilités et biologie ⋮ Multitype branching processes in random environment ⋮ Branching processes. II ⋮ A Kesten-Stigum type theorem for a supercritical multitype branching process in a random environment ⋮ Branching processes in a random environment with immigration stopped at zero ⋮ Evolution of branching processes in a random environment ⋮ Ancestral lineages and limit theorems for branching Markov chains in varying environment ⋮ Reduced multitype critical branching processes in random environment ⋮ Critical multitype branching processes in a random environment ⋮ Asymptotic properties of multitype critical branching processes evolving in a random environment ⋮ On linear birth-and-death processes in a random environment ⋮ The survival probability of a critical multi-type branching process in i.i.d. random environment ⋮ A branching process model for dormancy and seed banks in randomly fluctuating environments ⋮ New approaches to source-sink metapopulations decoupling demography and dispersal ⋮ Multitype weakly subcritical branching processes in random environment

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