Geodesic
Limit theorems for decomposable critical branching processes
Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 377-392 Cet article a éte moissonné depuis la source Math-Net.Ru

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A time-homogeneous branching process with decomposable matrix of first moments of the number of particles is considered. In the critical case the limiting distribution of the number of particles is obtained under the condition that the process has not died out. Limiting distributions are also found for such processes starting with a large number of particles. Bibliography: 3 titles. 
@article{SM_1976_29_3_a5,
     author = {A. K. Polin},
     title = {Limit theorems for decomposable critical branching processes},
     journal = {Sbornik. Mathematics},
     pages = {377--392},
     year = {1976},
     volume = {29},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_29_3_a5/}
}
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%D 1976
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A. K. Polin. Limit theorems for decomposable critical branching processes. Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 377-392. http://geodesic.mathdoc.fr/item/SM_1976_29_3_a5/

[1] B. A. Sevastyanov, Vetvyaschiesya protsessy, izd-vo «Nauka», Moskva, 1971 | MR

[2] A. A. Savin, V. P. Chistyakov, “Nekotorye teoremy dlya vetvyaschikhsya protsessov s neskolkimi tipami chastits”, Teoriya veroyatn., VII:1 (1962), 95–104

[3] Y. Ogura, “Asymptotic behavior of multitype Galton-Watson processes”, J. Math. Kyoto Univ., 15:2 (1975), 251–302 | MR | Zbl