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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 the integro-differential equations of purely discontinuous Markoff processes
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by Willy Feller PDF
Trans. Amer. Math. Soc. 48 (1940), 488-515 Request permission

Erratum: Trans. Amer. Math. Soc. 58 (1945), 474.
References
  • J. L. Doob, Stochastic processes depending on a continuous parameter, Trans. Amer. Math. Soc. 42 (1937), no. 1, 107–140. MR 1501916, DOI 10.1090/S0002-9947-1937-1501916-1
  • W. Dubrovski, Eine Verallgemeinerung der Theorie der rein unstetigen stochastischen Prozesse von W. Feller, Comptes Rendus (Doklady) de l’Académie des Sciences de l’URSS, vol. 19 (1938), p. 439. W. Feller, Zur Theorie der stochastischen Prozesse (Existenz- und Eindeutigkeitssätze), Mathematische Annalen, vol. 113 (1936), p. 113. —, Die Grundlagen der Volterraschen Theorie des Kampfes ums Dasein in wahrscheinlichkeitstheoretischer Behandlung, Acta Biotheoretica, vol. 5 (1939), p. 11. M. Fréchet, Recherches Théoriques Modernes sur le Calcul des Probabilités, Part II (Traité du Calcul des Probabilités, vol. 1, no. 3), 1938.
  • A. Kolmogoroff, Über die analytischen Methoden in der Wahrscheinlichkeitsrechnung, Math. Ann. 104 (1931), no. 1, 415–458 (German). MR 1512678, DOI 10.1007/BF01457949
  • O. Lundberg, forthcoming dissertation, Stockholm. G. Pólya, Sur la promenade au hasard dans un réseau des rues, Lecture at the “Colloque Consacré à la Théorie des Probabilités,” Geneva, 1937, Actualités Scientifiques et Industrielles, no. 734, 1938, p. 25. Added in proof; cf. the footnote on page 492: W. Doeblin, Sur certains mouvements aléatoires discontinus, Skandinavisk Aktuarietidskrift, 1939, p. 211.
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Additional Information
  • © Copyright 1940 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 48 (1940), 488-515
  • MSC: Primary 45.0X
  • DOI: https://doi.org/10.1090/S0002-9947-1940-0002697-3
  • MathSciNet review: 0002697