Almost sure convergence of branching processes in varying and random environments

DOI10.1214/aop/1176996717zbMath0278.60057OpenAlexW2090680970MaRDI QIDQ1394068

Torgny Lindvall

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/1176996717

Mathematics Subject Classification ID

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

Related Items (18)

A scaling limit theorem for Galton-Watson processes in varying environments ⋮ The probability of reaching a receding boundary by a branching random walk with fading branching and heavy-tailed jump distribution ⋮ Defective Galton-Watson processes in a varying environment ⋮ Extinction of branching processes in varying environments ⋮ Two-type linear-fractional branching processes in varying environments with asymptotically constant mean matrices ⋮ Branching processes. II ⋮ Random fractals and tree-indexed Markov chains ⋮ A unifying approach to branching processes in a varying environment ⋮ The supercritical Galton-Watson process in varying environments ⋮ Normed-convergence theory for supercritical branching processes ⋮ Almost sure convergence of continuous time branching processes ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Limit theorems for the supercritical Galton-Watson process in varying environments ⋮ Limit theorems for a Galton-Watson process with immigration in varying environments ⋮ On the asymptotic patterns of supercritical branching processes in varying environments ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ On weighted branching processes in random environment. ⋮ An inhomogeneous controlled branching process

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