Geodesic
Limit theorems for bounded branching processes
Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 18-28

Voir la notice de l'article provenant de la source Math-Net.Ru

The conditions under which the nonextincting trajectories of a discrete time bounded branching process with probability 1: either only finitely many times hit the upper boundary, either infinitely often hit the upper boundary, or coincide with the upper boundary after some random moment.
Keywords: bounded branching process, behavior of trajectories, limit theorems. 
@article{DM_2017_29_2_a1,
     author = {G. K. Kobanenko},
     title = {Limit theorems for bounded branching processes},
     journal = {Diskretnaya Matematika},
     pages = {18--28},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2017_29_2_a1/}
}
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G. K. Kobanenko. Limit theorems for bounded branching processes. Diskretnaya Matematika, Tome 29 (2017) no. 2, pp. 18-28. http://geodesic.mathdoc.fr/item/DM_2017_29_2_a1/