Geodesic
Total Population Size in Critical Branching Processes in a Random Environment
Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 12-23

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For a critical branching process evolving in a random environment and having geometric distributions of offspring sizes, we study the tail behavior of the distributions of the total size of the population and the maximal number of particles in a generation up to the moment of extinction of the process.
Keywords: branching processes in random environment, offspring number, population size, generating function, random walk, Lévy process.
Mots-clés : tail distribution 
@article{MZM_2012_91_1_a1,
     author = {V. A. Vatutin},
     title = {Total {Population} {Size} in {Critical} {Branching} {Processes} in a {Random} {Environment}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {12--23},
     publisher = {mathdoc},
     volume = {91},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a1/}
}
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V. A. Vatutin. Total Population Size in Critical Branching Processes in a Random Environment. Matematičeskie zametki, Tome 91 (2012) no. 1, pp. 12-23. http://geodesic.mathdoc.fr/item/MZM_2012_91_1_a1/