Dual and Feller-Reuter-Riley transition functions

DOI10.1016/j.jmaa.2005.05.076zbMath1090.60069OpenAlexW2075619083MaRDI QIDQ819623

Yang-rong Li

Publication date: 29 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.076

zbMATH Keywords

monotonicitydualitycontinuous-time Markov chains\(q\)-functions\(q\)-matricesFRRzero-entrancezero-exit

Mathematics Subject Classification ID

Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (7)

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 ⋮ Siegmund duality for continuous time Markov chains on \(\mathbb{Z}_+^d\) ⋮ The Limit Behavior of Dual Markov Branching Processes ⋮ Lyapunov criteria for the Feller-Dynkin property of martingale problems

Cites Work

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• 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
• Existence, uniqueness, and constructions for stochastically monotone \(Q\)-processes
• Monotonicity and comparability of time-homogeneous markov processes with discrete state space
• Stochastically monotone 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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