Geodesic
Limit distributions of the maximum size of a tree in a random recursive forest
Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 60-74
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We consider the set of forests consisting of $N$ recursive non-rooted trees with $n$ vertices where the uniform probability distribution is defined. We give the complete description of the asymptotic behaviour of the maximum size of a tree in a forest as $n\to\infty$.This research was supported by the Russian Foundation for Basic Research, grant 00–01–00233. 
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Yu. L. Pavlov; E. A. Loseva. Limit distributions of the maximum size of a tree in a random recursive forest. Diskretnaya Matematika, Tome 14 (2002) no. 1, pp. 60-74. http://geodesic.mathdoc.fr/item/DM_2002_14_1_a4/

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

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

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

[4] Britikov V. E., “Predelnye teoremy dlya maksimalnogo ob'ema dereva v sluchainom lese iz nekornevykh derevev”, Veroyatnostnye zadachi diskretnoi matematiki, 1987, 84–91, MIEM, Moskva | MR

[5] Pavlov Yu. L., Random forests, VSP, Utrecht, 2000 | MR | Zbl

[6] Meir A., Moon J. W., “On the altitude of nodes in random trees”, Canad. J. Math., 30:3 (1978), 997–1015 | MR | Zbl

[7] Shapiro A., “A generalized distribution model for random recursive trees”, Acta Informatica, 34 (1997), 211–216 | DOI | MR | Zbl

[8] Kolchin V. F., Sluchainye grafy, Nauka, Moskva, 2000 | MR