Geodesic
Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 231-268 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $Z_n$ be the number of particles at moment $n$ in a branching process in a random environment. Assuming that $Z_n$ is “critical” in a certain sense we prove theorems describing the asymptotic behavior as $n\to\infty$ of the distribution of the vector $(Z_{[nt_1]},\dots,Z_{[nt_{b}]})$, of the number of particles in the process at moments $0<[nt_1]<\dots<[nt_{b}]=n$ given $ Z_n>0$.
Keywords: branching processes in random environment, survival probability, limit theorems, critical branching process, random walks, Spitzer condition
Mots-clés : stable distributions, joint distributions. 
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V. A. Vatutin; E. E. D'yakonova. Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 231-268. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a1/

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