Geodesic
Limit distributions of the number of vertices of given degree in the forest of a~random mapping with a~given number of cycles
Diskretnaya Matematika, Tome 24 (2012) no. 1, pp. 132-139.

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

@article{DM_2012_24_1_a9,
     author = {Yu. L. Pavlov and T. B. Myll\"ari},
     title = {Limit distributions of the number of vertices of given degree in the forest of a~random mapping with a~given number of cycles},
     journal = {Diskretnaya Matematika},
     pages = {132--139},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2012_24_1_a9/}
}
TY  - JOUR
AU  - Yu. L. Pavlov
AU  - T. B. Mylläri
TI  - Limit distributions of the number of vertices of given degree in the forest of a~random mapping with a~given number of cycles
JO  - Diskretnaya Matematika
PY  - 2012
SP  - 132
EP  - 139
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DM_2012_24_1_a9/
LA  - ru
ID  - DM_2012_24_1_a9
ER  - 
%0 Journal Article
%A Yu. L. Pavlov
%A T. B. Mylläri
%T Limit distributions of the number of vertices of given degree in the forest of a~random mapping with a~given number of cycles
%J Diskretnaya Matematika
%D 2012
%P 132-139
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DM_2012_24_1_a9/
%G ru
%F DM_2012_24_1_a9
Yu. L. Pavlov; T. B. Mylläri. Limit distributions of the number of vertices of given degree in the forest of a~random mapping with a~given number of cycles. Diskretnaya Matematika, Tome 24 (2012) no. 1, pp. 132-139. http://geodesic.mathdoc.fr/item/DM_2012_24_1_a9/

[1] Kolchin V. F., Sluchainye otobrazheniya, Nauka, Moskva, 1984 | 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., “Predelnye teoremy dlya chisla derevev zadannogo ob'ema v sluchainom lese”, Matem. sb., 103(145):3 (1977), 392–403 | MR | Zbl

[4] Drmota M., Soria M., “Images and preimages in a random mapping”, SIAM J. Discrete Math., 31 (1997), 1045–1062 | MR

[5] Harris B., “Probability distributions related to random mappings”, Ann. Math. Statist., 10 (1960), 246–269 | MR

[6] Mylläri T., Pavlov Yu., “Limit distribution of the number of vertices of a given outdegree in a random forest”, J. Math. Sci., 138 (2006), 5424–5433 | DOI | MR

[7] Mylläri T., Studies in the theory of random forests, Åbo Akademi University, Åbo, 2004

[8] Kolchin V. F., Sevastyanov B. A., Chistyakov V. P., Sluchainye razmescheniya, Nauka, Moskva, 1976 | MR | Zbl

[9] Pavlov Yu. L., “O sluchainykh otobrazheniyakh s ogranicheniyami na chislo tsiklov”, Trudy MIAN SSSR, 177, 1986, 122–132 | MR | Zbl