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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On two dimensional Markov processes with branching property
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by Shinzo Watanabe PDF
Trans. Amer. Math. Soc. 136 (1969), 447-466 Request permission
References
    E. B. Dynkin, Markov processes, Springer, Berlin, 1965.
  • William Feller, Diffusion processes in genetics, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley-Los Angeles, Calif., 1951, pp. 227–246. MR 0046022
  • Gaetano Fichera, Sulle equazioni alle derivate parziali del secondo ordine ellittico-paraboliche, Univ. e Politec. Torino Rend. Sem. Mat. 15 (1955/56), 27–47 (Italian). MR 89347
  • R. Z. Has′minskiĭ, Diffusion processes and elliptic equations degenerating at the boundary of a region, Teor. Veroyatnost. i Primenen. 3 (1958), 430–451 (Russian, with English summary). MR 0101559
  • Nobuyuki Ikeda, Masao Nagasawa, and Shinzo Watanabe, On branching Markov processes, Proc. Japan Acad. 41 (1965), 816–821. MR 202195
  • K. Ito, Lectures on stochastic processes, 2nd ed., Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 24, Distributed for the Tata Institute of Fundamental Research, Bombay; by Springer-Verlag, Berlin, 1984. Notes by K. Muralidhara Rao. MR 759892
  • K. Ito and H. P. McKean, Jr., Diffusion processes and their sample paths, Springer, Berlin, 1965.
  • Miloslav Jiřina, Stochastic branching processes with continuous state space, Czechoslovak Math. J. 8(83) (1958), 292–313 (English, with Russian summary). MR 101554
  • Hiroshi Kunita and Shinzo Watanabe, On square integrable martingales, Nagoya Math. J. 30 (1967), 209–245. MR 217856
  • John Lamperti, Continuous state branching processes, Bull. Amer. Math. Soc. 73 (1967), 382–386. MR 208685, DOI 10.1090/S0002-9904-1967-11762-2
  • John Lamperti, The limit of a sequence of branching processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 7 (1967), 271–288. MR 217893, DOI 10.1007/BF01844446
  • Minoru Motoo and Shinzo Watanabe, On a class of additive functionals of Markov processes, J. Math. Kyoto Univ. 4 (1964/65), 429–469. MR 196808, DOI 10.1215/kjm/1250524600
  • A. V. Skorohod, Issledovaniya po teorii sluchaĭ nykh protsessov (Stokhasticheskie differentsial′nye uravneniya i predel′nye teoremy dlya protsessov Markova), Izdat. Kiev. Univ., Kiev, 1961 (Russian). MR 0185619
  • H. Tanaka and M. Hasegawa, Stochastic differential equations, Seminar on Prob., Vol. 19, 1964. (Japanese)
  • A. D. Ventcel′, On lateral conditions for multidimensional diffusion processes, Teor. Veroyatnost. i Primenen. 4 (1959), 172–185 (Russian, with English summary). MR 0106515
  • Shinzo Watanabe, On discontinuous additive functionals and Lévy measures of a Markov process, Jpn. J. Math. 34 (1964), 53–70. MR 185675, DOI 10.4099/jjm1924.34.0_{5}3
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 136 (1969), 447-466
  • MSC: Primary 60.67
  • DOI: https://doi.org/10.1090/S0002-9947-1969-0234531-1
  • MathSciNet review: 0234531