Geodesic
Limit distributions for the number of vertices in layers of a random forest
Diskretnaya Matematika, Tome 9 (1997) no. 4, pp. 150-157.

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We consider the random forests which consist of $N$ roots and $n$ non-root vertices, with rather general restrictions on the classes of trees. We obtain a series of limit theorems for the numbers of vertices in the layers of such random forests.This research was supported by the Russian Foundation for Basic Research, grant 97–01–00065. 
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     author = {I. A. Cheplyukova},
     title = {Limit distributions for the number of vertices in layers of a random forest},
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     number = {4},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1997_9_4_a13/}
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I. A. Cheplyukova. Limit distributions for the number of vertices in layers of a random forest. Diskretnaya Matematika, Tome 9 (1997) no. 4, pp. 150-157. http://geodesic.mathdoc.fr/item/DM_1997_9_4_a13/