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/