Asymptotic behaviour of heavy-tailed branching processes in random environments

DOI10.1214/19-EJP311zbMath1466.60178arXiv1811.07317MaRDI QIDQ2423463

Xiaoyue Zhang, Wenming Hong

Publication date: 20 June 2019

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

Full work available at URL: https://arxiv.org/abs/1811.07317

zbMATH Keywords

martingalesbranching processrandom environmentregularheavy-tailedirregular

Mathematics Subject Classification ID

Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Branching processes with immigration in atypical random environment, Asymptotic expansions in the central limit theorem for a branching Wiener process, Moments and large deviations for supercritical branching processes with immigration in random environments, Moments, large and moderate deviations for branching random walks with immigration in random environments

Cites Work

• Unnamed Item
• On explosions in heavy-tailed branching random walks
• A necessary and sufficient condition for a branching process in a random environment to grow like the product of its means
• Limit theorems for branching processes in a random environment
• Normalizing constants for branching processes in random environments (B.P.R.E.)
• Sufficient Conditions for Regularity of Bellman–Harris Branching Processes
• Almost sure convergence of branching processes
• Almost sure convergence in Markov branching processes with infinite mean
• On the asymptotic behaviour of branching processes with infinite mean
• Functional equations and the Galton-Watson process
• Extension of a Result of Seneta for the Super-Critical Galton-Watson Process
• The Galton-Watson process with infinite mean
• A Limit Theorem for Multidimensional Galton-Watson Processes
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Branching Processes with Random Environments, II: Limit Theorems
• The simple branching process with infinite mean. I