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

In: Markov Processes and Controlled Markov Chains

Author

Listed:
  • 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)

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.

Suggested Citation

  • Anyue Chen & Hanjun Zhang & Zhenting Hou, 2002. "Feller Transition Functions, Resolvent Decomposition Theorems, and their Application in Unstable Denumerable Markov Processes," Springer Books, in: Zhenting Hou & Jerzy A. Filar & Anyue Chen (ed.), Markov Processes and Controlled Markov Chains, chapter 0, pages 15-39, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-0265-0_2
    DOI: 10.1007/978-1-4613-0265-0_2
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