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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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BibTeX entry: (Update)
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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