Geodesic
Asymptotic properties of multitype critical branching processes evolving in a~random environment
Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 22-40

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For an extended class of multitype critical branching processes in a random environment, the asymptotic behaviour of the survival probability is found under the conditions which are weaker than those known earlier even for the single-type case. A functional limit theorem is proved for the number of particles in the process at moments $nt$, $0\leq t\leq1$, conditioned on its survival up to moment $n$. 
@article{DM_2010_22_2_a1,
     author = {V. A. Vatutin and E. E. Dyakonova},
     title = {Asymptotic properties of multitype critical branching processes evolving in a~random environment},
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     publisher = {mathdoc},
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     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2010_22_2_a1/}
}
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V. A. Vatutin; E. E. Dyakonova. Asymptotic properties of multitype critical branching processes evolving in a~random environment. Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 22-40. http://geodesic.mathdoc.fr/item/DM_2010_22_2_a1/