Geodesic
Asymptotic behavior of the survival probability for a decomposable branching process with replacements depending on the age of the particles
Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 95-107 
V. A. Vatutin. Asymptotic behavior of the survival probability for a decomposable branching process with replacements depending on the age of the particles. Sbornik. Mathematics, Tome 31 (1977) no. 1, pp. 95-107. http://geodesic.mathdoc.fr/item/SM_1977_31_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

This article derives the asymptotic behavior of the survival probability for critical decomposable branching processes with replacements depending on the age of the particles. Bibliography: 9 titles.

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

[2] V. A. Vatutin, “Asimptotika veroyatnosti prodolzheniya kriticheskogo vetvyaschegosya protsessa”, Teoriya veroyatn., XXII:1 (1977), 143–149 | MR | Zbl

[3] F. R. Gantmakher, Teoriya matrits, izd-vo «Nauka», Moskva, 1966 | MR

[4] V. Feller, Vvedenie v teoriyu veroyatnostei i ee prilozheniya, t. 2, izd-vo «Mir», Moskva, 1967

[5] V. P. Chistyakov, “Asimptotika veroyatnosti prodolzheniya kriticheskogo vetvyaschegosya protsessa”, Teoriya veroyatn., XVI (1971), 638–648

[6] S. Karlin, Osnovy teorii sluchainykh protsessov, izd-vo «Mir», Moskva, 1971 | MR

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

[8] M. J. Goldstein, “Critical age-dependent branching processes: sirgle and multitype”, Z. Wahrsheinlichkeitstheorie, 17:1 (1971), 74–88 | DOI | MR | Zbl

[9] J. Chover, P. Ney, “The non-linear renewal equation”, J. D'Analyse Math., 21 (1968), 381–413 | DOI | MR | Zbl