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On the continuity of Markov processes

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Probability and Information Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 89))

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References

  1. Austin, D. G.; On the existence of the derivative of Markoff transition Probability functions. Proc. Nat. Acad. Sci., 41, 224–226 (1955).

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  2. Chung, K. L.; Some new developments in Markov Chains, Trans. Amer. Math. Soc., 81, 195–210 (1956).

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  3. Doob, J. L.; Topics in the theory of Markov Chains, Trans. Amer. Math. Soc. 52, 37–64 (1942).

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  4. Hille, E. and Phillips; R. S., Functional Analysis and semigroups, Amer. Math. Soc. Colloq. Pub. 31 rev. edi Providence, 1957.

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  5. Jurkat, W. B.; On semigroups of positive matrices I, Research Report 20, U. S. Air Force Contract No. AF49(638)-265.

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  6. Kolmogrov, A. N., On some problems concerning the differentiability of the transition probabilities in a temporally homogeneous Markov process having a denumerable number of states (Russian), Ucenye Zapiski, Markov. Gos. Univ. Matem. (4) 148, 53–59 (1951).

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Author information

Authors and Affiliations

  1. McMaster University, Hamilton, Ontario

    Taqdir Husain

Authors
  1. Taqdir Husain
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M. Behara K. Krickeberg J. Wolfowitz

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© 1969 Springer-Verlag

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Husain, T. (1969). On the continuity of Markov processes. In: Behara, M., Krickeberg, K., Wolfowitz, J. (eds) Probability and Information Theory. Lecture Notes in Mathematics, vol 89. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079120

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  • DOI: https://doi.org/10.1007/BFb0079120

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04608-0

  • Online ISBN: 978-3-540-36098-8

  • eBook Packages: Springer Book Archive

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