Two-type linear-fractional branching processes in varying environments with asymptotically constant mean matrices

DOI10.1017/jpr.2021.52zbMath1486.60114arXiv2007.07840OpenAlexW4225827712MaRDI QIDQ5067221

Hua Ming Wang, Huizi Yao

Publication date: 1 April 2022

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

Full work available at URL: https://arxiv.org/abs/2007.07840

zbMATH Keywords

spectral radiusbranching processextinction timeproduct of non-negative matricestail of continued fraction

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Positive matrices and their generalizations; cones of matrices (15B48) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (1)

Cutpoints of (1,2) and (2,1) random walks on the lattice of positive half line

Cites Work

• Continued fractions. Vol. 1: Convergence theory
• On the convergence of multitype branching processes with varying environments
• Almost sure convergence of branching processes in varying and random environments
• Multitype branching limit behavior
• Multi-type branching in varying environment
• Computation of limit periodic continued fractions. A survey
• A GALTON-WATSON BRANCHING PROCESS IN VARYING ENVIRONMENTS WITH ESSENTIALLY CONSTANT OFFSPRING MEANS AND TWO RATES OF GROWTH1
• On the extinction time distribution of a branching process in varying environments
• Galton-Watson processes in varying environments
• Asymptotic behaviour of the probability of non-extinction for a multi-type branching process in a random environment
• Multi-type branching processes with time-dependent branching rates
• A unifying approach to branching processes in a varying environment
• Discrete Time Branching Processes in Random Environment

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