Proceedings of the Japan Academy

A construction of markov processes by piecing out

Nobuyuki Ikeda, Masao Nagasawa, and Shinzo Watanabe

Full-text: Open access

Article information

Source
Proc. Japan Acad., Volume 42, Number 4 (1966), 370-375.

Dates
First available in Project Euclid: 20 November 2007

Permanent link to this document
https://projecteuclid.org/euclid.pja/1195522037

Digital Object Identifier
doi:10.3792/pja/1195522037

Mathematical Reviews number (MathSciNet)
MR0202197

Zentralblatt MATH identifier
0178.53401

Subjects
Primary: 60.60

Citation

Ikeda, Nobuyuki; Nagasawa, Masao; Watanabe, Shinzo. A construction of markov processes by piecing out. Proc. Japan Acad. 42 (1966), no. 4, 370--375. doi:10.3792/pja/1195522037. https://projecteuclid.org/euclid.pja/1195522037


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References

  • [1] Courrege, P., and P. Priouret: Temps d'arret d'une fonction aleatoire: proprietes de decomposition. C.R. Acad. Sc. Paris, 259, 3933-3935 (1964).
  • [2] Dynkin, E. B.: Markov Processes. Springer (1965).
  • [3] Feller, W.: On boundaries and lateral conditions for the Kolmogorov differential equations. Ann. Math., 65, 527-570 (1957).
  • [4] Galmariono, A. R.: A test for Markov times. Rev. Un. Mat. Argentina, 21, 173-178 (1963).
  • [5] Ikeda, N., M. Nagasawa, and S. Watanabe: On branching Markov processes. Proc. Japan Acad., 41, 816-821 (1965).
  • [6] Ikeda, N., M. Nagasawa, and S. Watanabe: Fundamental equations of branching Markov processes. Proc. Japan Acad., 42, 252-257 (1966).
  • [7] Ionescu Tulcea, C: Mesures dans les espaces produits. Atti Acad. Naz Lincei Rend., 7 (1949).
  • [8] Kunita, H.: Applications of Martin boundaries to instantaneous return Markov process over a denumerable space. Jour. Math. Soc. Japan, 14, 66-100 (1962).
  • [9] Loe>e, M.: Probability Theory (Third edition) van Norstrand (1963).
  • [10] Meyer, P. A.: A decomposition theorem for supermartingales. 111. Jour. Math., 6, 193-205 (1962); 7, 1-17 (1963).
  • [11] Volkonsky, V. A.: Additive functionals of Markov processes. Trudy Moskov Mat. Obshc, 9, 143-189 (1960).
  • [12] Watanabe, T.: A remark on the strong Markov property. Mem. Fac. Sci. Kyushu Univ. Ser. A, Math., 17, 176-180 (1963).