Convergence conditions for weighted branching processes

U. Rösler ; V. A. Topchii ; V. A. Vatutin

Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 7-23.

Résumé

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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