Feller Transition Functions, Resolvent Decomposition Theorems, and their Application in Unstable Denumerable Markov Processes

Anyue Chen, Hanjun Zhang and Zhenting Hou
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Anyue Chen: University of Greenwich, School of Computing and Mathematical Sciences
Hanjun Zhang: Changsha Railway University, Research Department
Zhenting Hou: Changsha Railway University, Research Department

Chapter Chapter 2 in Markov Processes and Controlled Markov Chains, 2002, pp 15-39 from Springer

Abstract: Abstract This paper surveys the recent progresses made in the field of unstable denumerable Markov processes. Emphases are laid upon methodology and applications. The important tools of Feller transition functions and Resolvent Decomposition Theorems are highlighted. Their applications particularly in unstable denumerable Markov processes with a single instantaneous state and Markov branching processes are illustrated.

Keywords: Markov Chain; Markov Process; Transition Function; Existence Condition; Continuous Time Markov Chain (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0265-0_2

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DOI: 10.1007/978-1-4613-0265-0_2

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