Geodesic
A remark on Galton–Watson forests
Diskretnaya Matematika, Tome 12 (2000) no. 1, pp. 47-59
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@article{DM_2000_12_1_a3,
     author = {N. I. Kazimirov and Yu. L. Pavlov},
     title = {A remark on {Galton{\textendash}Watson} forests},
     journal = {Diskretnaya Matematika},
     pages = {47--59},
     year = {2000},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2000_12_1_a3/}
}
TY  - JOUR
AU  - N. I. Kazimirov
AU  - Yu. L. Pavlov
TI  - A remark on Galton–Watson forests
JO  - Diskretnaya Matematika
PY  - 2000
SP  - 47
EP  - 59
VL  - 12
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/DM_2000_12_1_a3/
LA  - ru
ID  - DM_2000_12_1_a3
ER  - 
%0 Journal Article
%A N. I. Kazimirov
%A Yu. L. Pavlov
%T A remark on Galton–Watson forests
%J Diskretnaya Matematika
%D 2000
%P 47-59
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/DM_2000_12_1_a3/
%G ru
%F DM_2000_12_1_a3
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/

[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