Applications of Feller-Reuter-Riley transition functions

DOI10.1006/jmaa.2000.7466zbMath0984.60085OpenAlexW1994838139MaRDI QIDQ5945101

Anyue Chen

Publication date: 5 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7466

zbMATH Keywords

dualFeller minimal \(q\)-functionsFeller-Reuter-Riley functionsMarkov branching processstable \(q\)-matrixunstable \(q\)-matrixWilliams matrix

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27) Transition functions, generators and resolvents (60J35)

Related Items

Criteria for Feller transition functions, Convergence rates and limit theorems for the dual Markov branching process, Column continuous transition functions, Strongly monotone \(q\)-functions and a note on strong ergodicity of monotone \(q\)-functions, Uniqueness and extinction of weighted Markov branching processes, General Harris regularity criterion for non-linear Markov branching processes, Siegmund duality for continuous time Markov chains on \(\mathbb{Z}_+^d\), The Limit Behavior of Dual Markov Branching Processes, Regularity criterion for 2-type Markov branching processes with immigration, General collision branching processes with two parameters

Cites Work

• Markov branching processes with instantaneous immigration
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• Markov branching processes regulated by emigration and large immigration
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• Stochastic monotonicity of birth–death processes
• Explosive Markov branching processes: entrance laws and limiting behaviour
• A note on the Q-matrices of Markov Chains
• The Feller Property for Markov Semigroups on a Countable State Space
• Some remarks on the duality of continuous time markov chains
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