Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A lemma on the Galton-Watson process and some of its consequences
HTML articles powered by AMS MathViewer

by F. Papangelou PDF
Proc. Amer. Math. Soc. 19 (1968), 1469-1479 Request permission
References
  • Kai Lai Chung, Markov chains with stationary transition probabilities, Die Grundlehren der mathematischen Wissenschaften, Band 104, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. MR 0116388
  • William Feller, An introduction to probability theory and its applications. Vol. I, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1957. 2nd ed. MR 0088081
  • Theodore E. Harris, The theory of branching processes, Die Grundlehren der mathematischen Wissenschaften, Band 119, Springer-Verlag, Berlin; Prentice Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0163361
  • C. R. Heathcote, E. Seneta, and D. Vere-Jones, A refinement of two theorems in the theory of branching processes, Teor. Verojatnost. i Primenen. 12 (1967), 341–346 (English, with Russian summary). MR 0217889
  • A. Joffe, On the Galton-Watson branching process with mean less than one, Ann. Math. Statist. 38 (1967), 264–266. MR 205337, DOI 10.1214/aoms/1177699079
  • Samuel Karlin and James McGregor, Spectral theory of branching processes. I. The case of discrete spectrum, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 5 (1966), 6–33. MR 205338, DOI 10.1007/BF00532810
  • H. Kesten, P. Ney, and F. Spitzer, The Galton-Watson process with mean one and finite variance, Teor. Verojatnost. i Primenen. 11 (1966), 579–611 (English, with Russian summary). MR 0207052
    • A.N. Kolmogorov, Zur Lösung einer biologischen Aufgabe, Izv. Naučn.-Issled. Inst. Mat. i Meh. Tomsk. Gosudarstv. Univ. 2 (1938), 1-6.
  • F. Papangelou, Strong ratio limits, $R$-recurrence and mixing properties of discrete parameter Markov processes, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 8 (1967), 259–297. MR 226728, DOI 10.1007/BF00531592
  • E. Seneta, The Galton-Watson process with mean one, J. Appl. Probability 4 (1967), 489–495. MR 228075, DOI 10.2307/3212216
  • E. Seneta and D. Vere-Jones, On quasi-stationary distributions in discrete-time Markov chains with a denumerable infinity of states, J. Appl. Probability 3 (1966), 403–434. MR 207047, DOI 10.2307/3212128
  • D. Vere-Jones, Ergodic properties of nonnegative matrices. I, Pacific J. Math. 22 (1967), 361–386. MR 214145
  • A. M. Yaglom, Certain limit theorems of the theory of branching random processes, Doklady Akad. Nauk SSSR (N.S.) 56 (1947), 795–798 (Russian). MR 0022045
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 60.67
  • Retrieve articles in all journals with MSC: 60.67
Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 19 (1968), 1469-1479
  • MSC: Primary 60.67
  • DOI: https://doi.org/10.1090/S0002-9939-1968-0232457-5
  • MathSciNet review: 0232457