Geodesic
Convergence conditions for weighted branching processes
Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 7-23

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We consider some aspects of the weighted branching processes and, in particular, consider convergence conditions for the processes being a certain analogue of the well-known condition on $X\ln X$ for ordinary branching processes and branching random walks on $\mathbb R$. The research was supported by the Russian Foundation for Basic Research, grant 99–01–00012, and by RFBR–NNIO, grant 98–01–04132. 
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     author = {U. R\"osler and V. A. Topchii and V. A. Vatutin},
     title = {Convergence conditions for weighted branching processes},
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     language = {ru},
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U. Rösler; V. A. Topchii; V. A. Vatutin. Convergence conditions for weighted branching processes. Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 7-23. http://geodesic.mathdoc.fr/item/DM_2000_12_1_a1/