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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Products of indecomposable, aperiodic, stochastic matrices


Author: J. Wolfowitz
Journal: Proc. Amer. Math. Soc. 14 (1963), 733-737
MSC: Primary 15.65
MathSciNet review: 0154756
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  • [1] W. Feller, An introduction to probability theory and its applications, 2nd ed., Vol. 1, Wiley, New York, 1957. MR 0088081 (19:466a)
  • [2] J. L. Doob, Stochastic processes, Wiley, New York, 1953. MR 0058896 (15:445b)
  • [3] J. Wolfowitz, Strong converse of the coding theorem for indecomposable channels, Sankhya (1963). See also the abstract by the same title in Ann. Math. Statist. 33 (1962), 1212.
  • [4] J. Hajnal, Weak ergodicity in non-homogeneous Markov chains, Proc. Cambridge Philos. Soc. 54 (1958), 233-246. MR 0096306 (20:2790)
  • [5] T. A. Sarymsakov, Inhomogeneous Markov chains, Teor. Verojatnost. i Primenen. 6 (1961), 194-201. MR 0203813 (34:3660)
  • [6] A. J. Thomasian, A finite criterion for indecomposable channels, Ann. Math. Statist. 34 (1963), 337-338. MR 0144797 (26:2338)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1963-0154756-3
PII: S 0002-9939(1963)0154756-3
Article copyright: © Copyright 1963 American Mathematical Society