The Limit Behavior of Dual Markov Branching Processes

DOI10.1239/jap/1208358960zbMath1137.60039OpenAlexW2059696327MaRDI QIDQ5459917

Anthony G. Pakes, Anhui Gu, Jia Li, Yang-rong Li

Publication date: 30 April 2008

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

Full work available at URL: https://doi.org/10.1239/jap/1208358960

zbMATH Keywords

recurrencetransienceMarkov branching processstrong ergodicityinvariant distributiondual Markov branching processdual-branching \(q\)-matrix

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (3)

Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations ⋮ Convergence rates and limit theorems for the dual Markov branching process ⋮ Coalescences in continuous-state branching processes

Cites Work

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• Dual and Feller-Reuter-Riley transition functions
• Strongly monotone \(q\)-functions and a note on strong ergodicity of monotone \(q\)-functions
• Continuous-time Markov chains. An applications-oriented approach
• The equivalence of absorbing and reflecting barrier problems for stochastically monotone Markov processes
• Stochastic comparability and dual \(Q\)-functions
• Contraction integrated semigroups and their application to continuous-time Markov chains
• Uniqueness and extinction properties of generalised Markov branching processes
• Birth, immigration and catastrophe processes
• Explosive Markov branching processes: entrance laws and limiting behaviour
• An extended class of time-continuous branching processes
• Ergodicity and stability of generalised Markov branching processes with resurrection
• Uniqueness criteria for continuous-time Markov chains with general transition structures
• The Feller Property for Markov Semigroups on a Countable State Space
• Applications of Feller-Reuter-Riley transition functions
• Strong ergodicity of monotone transition functions

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