Classification of Markov chains with a general state space
HTML articles powered by AMS MathViewer
- by Zbynĕk Šidák PDF
- Bull. Amer. Math. Soc. 72 (1966), 149-152
References
- R. V. Chacon and D. S. Ornstein, A general ergodic theorem, Illinois J. Math. 4 (1960), 153–160. MR 110954, DOI 10.1215/ijm/1255455860
- J. L. Doob, Stochastic processes, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0058896 3. N. Dunford and J. T. Schwartz, Linear operators. Vol. I, Interscience, New York, 1958.
- Jacob Feldman, Subinvariant measures for Markoff operators, Duke Math. J. 29 (1962), 71–98. MR 186788
- T. E. Harris, The existence of stationary measures for certain Markov processes, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954–1955, vol. II, University of California Press, Berkeley-Los Angeles, Calif., 1956, pp. 113–124. MR 0084889
- David G. Kendall, Integral representations for Markov transition probabilities, Bull. Amer. Math. Soc. 64 (1958), 358–362. MR 126880, DOI 10.1090/S0002-9904-1958-10230-X 7. D. G. Kendall, Unitary dilations of Markov transition operators, and the corresponding integral representations for transition — probability matrices, Probability & Statistics, The Harald Cramér Volume, Wiley, New York, 1959, pp. 139-161.
- Edward Nelson, The adjoint Markoff process, Duke Math. J. 25 (1958), 671–690. MR 101555
- Zbyněk Šidák, Integral representations for transition probabilities of Markov chains with a general state space, Czechoslovak Math. J. 12(87) (1962), 492–522 (English, with Russian summary). MR 148115, DOI 10.21136/CMJ.1962.100535
- Béla Sz.-Nagy and Ciprian Foiaş, Sur les contractions de l’espace de Hilbert. IV, Acta Sci. Math. (Szeged) 21 (1960), 251–259 (French). MR 126149
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 149-152
- DOI: https://doi.org/10.1090/S0002-9904-1966-11462-3
- MathSciNet review: 0185705