Geodesic
A remark on Galton–Watson forests
Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 47-59 
N. I. Kazimirov; Yu. L. Pavlov. A remark on Galton–Watson forests. Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 47-59. http://geodesic.mathdoc.fr/item/DM_2000_12_1_a3/
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     title = {A remark on {Galton{\textendash}Watson} forests},
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     url = {http://geodesic.mathdoc.fr/item/DM_2000_12_1_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We demonstrate that the limit theorems on basic characteristics of the Galton–Watson random forests established earlier hold true provided that there exists the second moment of the distribution of offspring of a single particle of the critical branching process that generates the forest.

[1] Pavlov Yu. L., Sluchainye lesa Karelskii NTs RAN, Petrozavodsk,, 1996.

[2] Pavlov Yu. L., “Predelnye raspredeleniya maksimalnogo ob'ema dereva v sluchainom lese”, Diskretnaya matematika, 7:3 (1995), 19–32 | MR | Zbl

[3] Pavlov Yu. L., “Predelnye raspredeleniya chisla derevev zadannogo ob'ema v sluchainom lese”, Diskretnaya matematika, 8:2 (1996), 31–47 | MR | Zbl

[4] Pavlov Yu. L., Proc. 4th Intern. Petrozavodsk Conf. Probabilistic Methods in Discrete Math., VSP, Utrecht, 1997, 11–18 | MR | Zbl

[5] Pavlov Yu. L., Cheplyukova I. A., “Predelnye raspredeleniya chisla vershin v sloyakh prosto generiruemogo lesa”, Diskretnaya matematika, 11:1 (1999), 97–112 | MR | Zbl

[6] Kolchin V.F., Sluchainye otobrazheniya, Nauka, Moskva, 1984 | MR

[7] Sevastyanov B. A., Vetvyaschiesya protsessy, Nauka, Moskva, 1971 | MR