Limit theorems on sizes of trees in a random unlabelled forest
Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 70-86.

Voir la notice de l'article provenant de la source Math-Net.Ru

We describe the asymptotic behaviour of the maximum size of a tree and of the number of trees of a given size in a random forest of $N$ trees and $n$ unlabelled vertices in all domains where $N$, $n$ tend to infinity. This research was supported by the program of the President of Russian Federation of supporting leading scientific schools, grant 1758.2003.1.
@article{DM_2005_17_2_a4,
     author = {Yu. L. Pavlov},
     title = {Limit theorems on sizes of trees in a random unlabelled forest},
     journal = {Diskretnaya Matematika},
     pages = {70--86},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2005_17_2_a4/}
}
TY  - JOUR
AU  - Yu. L. Pavlov
TI  - Limit theorems on sizes of trees in a random unlabelled forest
JO  - Diskretnaya Matematika
PY  - 2005
SP  - 70
EP  - 86
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2005_17_2_a4/
LA  - ru
ID  - DM_2005_17_2_a4
ER  - 
%0 Journal Article
%A Yu. L. Pavlov
%T Limit theorems on sizes of trees in a random unlabelled forest
%J Diskretnaya Matematika
%D 2005
%P 70-86
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2005_17_2_a4/
%G ru
%F DM_2005_17_2_a4
Yu. L. Pavlov. Limit theorems on sizes of trees in a random unlabelled forest. Diskretnaya Matematika, Tome 17 (2005) no. 2, pp. 70-86. http://geodesic.mathdoc.fr/item/DM_2005_17_2_a4/

[1] Pavlov Yu. L., “Predelnye teoremy dlya chisla derevev zadannogo ob'ema v sluchainom lese”, Matem. sb., 103:3 (1977), 392–403 | MR | Zbl

[2] Pavlov Yu. L., “Asimptoticheskoe raspredelenie maksimalnogo ob'ema dereva v sluchainom lese”, Teoriya veroyatnostei i ee primeneniya, 22:3 (1977), 523–533 | MR | Zbl

[3] Pavlov Yu. L., “Odin sluchai predelnogo raspredeleniya maksimalnogo ob'ema dereva v sluchainom lese”, Matem. zametki, 25:5 (1979), 751–760 | MR | Zbl

[4] Otter R., “Chislo derevev”, Perechislitelnye zadachi kombinatornogo analiza, Mir, Moskva, 1979, 139–159 | MR

[5] Kolchin V. F., Sluchainye grafy, Fizmatlit, Moskva, 2004

[6] Kolchin V. F., “O suschestvovanii gigantskoi komponenty v skhemakh razmescheniya chastits”, Obozrenie prikladnoi i promyshlennoi matem., 7:1 (2000), 112–113

[7] Pavlov Yu. L., “Predelnye teoremy dlya ob'emov derevev nepomechennogo grafa sluchainogo otobrazheniya”, Diskretnaya matematika, 16:3 (2004), 63–75 | Zbl

[8] Kolchin A. V., “Predelnye teoremy dlya obobschennoi skhemy razmescheniya”, Diskretnaya matematika, 15:4 (2003), 148–157 | MR | Zbl

[9] Kazimirov N. I., “O nekotorykh usloviyakh otsutstviya gigantskoi komponenty v obobschennoi skheme razmescheniya”, Diskretnaya matematika, 14:2 (2002), 107–118 | MR | Zbl

[10] Kazimirov N. I., “Ob asimptotike bolshikh komponent obobschennoi skhemy razmescheniya”, Trudy Instituta prikladnykh matem. issledovanii KarNTs RAN, 4 (2003), 61–76

[11] Tkachuk S. G., “Lokalnye predelnye teoremy, uchityvayuschie bolshie ukloneniya, v sluchae predelnykh ustoichivykh zakonov”, Izv. AN Uzb. SSR. Ser. fiz.-matem. nauk, 2 (1973), 30–33 | Zbl