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Branching Processes (1999)  (Make Corrections)  (116 citations)
K. B. Athreya, A. N. Vidyashankar



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Abstract: In this survey we give a concise account of the theory of branching processes. We describe the branching process of a single type in discrete time followed by the multitype case. Continuous time branching process of a single type is discussed next followed by branching processes in random environments in discrete time. Finally we deal with branching random walks. 1 Introduction. The subject of branching processes is now over half a century old. Already in the last century the problem of... (Update)

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Athreya, K.B. and Ney, P.E. (1972) Branching Processes. Springer-Verlag. http://citeseer.ist.psu.edu/athreya99branching.html   More

@misc{ athreya72branching,
  author = "K. Athreya and P. Ney",
  title = "Branching Processes",
  text = "Athreya, K.B. and Ney, P.E. (1972) Branching Processes. Springer-Verlag.",
  year = "1972",
  url = "citeseer.ist.psu.edu/athreya99branching.html" }
Citations (may not include all citations):
116   Branching Processes - Athreya, Ney - 1972
79   The Theory of Branching Processes (context) - Harris - 1963
21   Branching processes with biological applications (context) - Jagers - 1975
12   Martingale convergence in the branching random walk (context) - Biggins - 1977
11   Chernoff's theorem in the branching random walk (context) - Biggins - 1977
10   Uniform convergence of martingales in the branching random w.. (context) - Biggins - 1992
10   A limit theorem for multidimensional GaltonWatson processes (context) - Kesten, Stigum - 1966
8   Statistical Inference for Branching Processes (context) - Guttorp - 1991
8   Conceptual proofs of LlogL criteria for mean behavior of bra.. - Lyons, Pemantle et al. - 1995
7   A conceptual proof of Kesten-Stigum theorem for multi-type b.. - Kurtz, Lyons et al. - 1997
5   Large deviation rates for branching processes (context) - Athreya - 1994
3   Growth rates in the branching random walk (context) - Biggins - 1979
3   On branching processes with random environments (context) - Athreya, Karlin - 1971
3   Extension of a result of Seneta for supercritical GaltonWats.. (context) - Heyde - 1970
3   Multitype branching processes: Theory and applications (context) - Mode - 1971

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