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Transactions of the American Mathematical Society

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Markov processes whose hitting distributions are dominated by those of a given process


Author: Chung-tuo Shih
Journal: Trans. Amer. Math. Soc. 129 (1967), 157-179
MSC: Primary 60.62
DOI: https://doi.org/10.1090/S0002-9947-1967-0220352-0
MathSciNet review: 0220352
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  • [1] R. M. Blumenthal, R. K. Getoor and H. P. McKean, Jr., Markov processes with identical hitting distributions, Illinois J. Math. 6 (1962), 402-420. MR 0142157 (25:5550)
  • [2] E. B. Dynkin, Markov processes (English transl.), Springer-Verlag, Berlin, 1965.
  • [3] R. K. Getoor, Additive functions of a Markov process, Lecture notes, Univ. of Hamburg, 1964.
  • [4] -, Additive functionals and excessive functions, Ann. Math. Statist. 36 (1965), 409-422. MR 0172335 (30:2554)
  • [5] P. A. Meyer, Fonctionnelles multiplicatives et additives de Markov, Ann. Inst. Fourier (Grenoble) 12 (1962), 125-213. MR 0140148 (25:3570)
  • [6] M. G. Šur, A class of Markov processes whose exit probabilities are majorized by the exit probabilities of a Wiener process, Dokl. Akad. Nauk SSSR 147 (1962), 323-326=Soviet Math. Dokl. 3 (1962), 1626-1629. MR 0148116 (26:5625)

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DOI: https://doi.org/10.1090/S0002-9947-1967-0220352-0
Article copyright: © Copyright 1967 American Mathematical Society

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