On the maximum of a subcritical branching process in a random environment.

DOI10.1016/S0304-4149(00)00084-3zbMath1053.60091MaRDI QIDQ1888749

Valeriy I. Afanasiev

Publication date: 26 November 2004

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

zbMATH Keywords

branching processesrandom environment

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

Related Items (11)

Large deviation estimates for branching random walks ⋮ Convergence in \(L^p\) for a supercritical multi-type branching process in a random environment ⋮ Subcritical Branching Processes in Random Environment ⋮ The tail of the length of an excursion in a trap of random size ⋮ Precise large deviation estimates for branching process in random environment ⋮ High level subcritical branching processes in a random environment ⋮ Weighted moments of the limit of a branching process in a random environment ⋮ Favorite sites of randomly biased walks on a supercritical Galton-Watson tree ⋮ Many visits to a single site by a transient random walk in random environment. ⋮ Limit theorems for a Galton-Watson process with immigration in varying environments ⋮ Limit theorems for branching processes with immigration in a random environment

Cites Work

• Tail estimates for one-dimensional random walk in random environment
• A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means
• Random difference equations and renewal theory for products of random matrices
• On the maximum of a critical branching process in a random environment
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the maximum of a subcritical branching process in a random environment.