Geodesic
The Asymptotic Behaviour of the Probability that a~Critical Branching Process is Not Extinct
Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 179-183

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Critical age-dependent branching processes are considered. Let $\mu_t$ be the number of particles at a time $t$. For probability $\mathbf P\{\mu_t>0\}$ we derive the asymptotical formula (3) as $t\to\infty$ which is a generalization of (2). 
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     author = {B. A. Sevast'yanov},
     title = {The {Asymptotic} {Behaviour} of the {Probability} that {a~Critical} {Branching} {Process} is {Not} {Extinct}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     volume = {12},
     number = {1},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/}
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B. A. Sevast'yanov. The Asymptotic Behaviour of the Probability that a~Critical Branching Process is Not Extinct. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 179-183. http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a20/