Two-Sided Time-Homogeneous Markov Processes

  • Bruce W. Atkinson
Part of the Progress in Probability and Statistics book series (PRPR, volume 9)


The purpose of this paper is to discuss conditions under which it is possible to construct a Markov process indexed by IR with random times of birth and death and which is time-homogeneous in both directions.


Markov Process Path Space Weak Duality Loose Sense Nonzero Diagonal Entry 
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  1. 1.
    B.W. Atkinson. “Two-sided Markov chains.” Preprint (1984).Google Scholar
  2. 2.
    K.L. Chung and J.B. Walsh. “To reverse a Markov process.” Acta. Math. 123, 225–251 (1969).MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    S.E. KUZNETSOV. “Construction of Markov processes with random times of birth and death.” Th. Prob. Appl. 18, 571–575 (1973).MATHCrossRefGoogle Scholar
  4. 4.
    J.B. MITRO. “Dual Markov processes: Construction of a useful auxiliary process.“ Z. Währ. verb). Geb. 47, 139–156 (1979).MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    D.W. Stroock. “On the spectrum of Markov semi-groups and the existence of invariant measures.“ Functional Analysis in Markov Processes, Lecture notes in Math. 923, pp. 286–307. Springer-Verlag, New York, 1982.CrossRefGoogle Scholar

Copyright information

© Birkhäuser Boston, Inc. 1986

Authors and Affiliations

  • Bruce W. Atkinson
    • 1
  1. 1.Department of MathematicsUniversity of FloridaGainesvilleUSA

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