Geodesic
Limit theorem for multitype critical branching process evolving in random environment
Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 44-58

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We investigate a multitype critical branching process in an i.i.d. random environment. A functional limit theorem is proved for the logarithm of the number of particles in the process at moments $nt,0\leq t\leq 1,$ $\ $conditioned on its survival up to moment $n\rightarrow \infty $.
Keywords: multitype branching processes, random environment, functional limit theorem. 
@article{DM_2015_27_1_a3,
     author = {E. E. D'yakonova},
     title = {Limit theorem for multitype critical branching process evolving in random environment},
     journal = {Diskretnaya Matematika},
     pages = {44--58},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2015_27_1_a3/}
}
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E. E. D'yakonova. Limit theorem for multitype critical branching process evolving in random environment. Diskretnaya Matematika, Tome 27 (2015) no. 1, pp. 44-58. http://geodesic.mathdoc.fr/item/DM_2015_27_1_a3/