Geodesic
Limit distributions of the number of vertices in strata of a simply generated forest
Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 97-112
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We consider simply generated forests consisting of $N$ trees and $n$ non-root vertices. As $N,n\to\infty$ so that $N^2/n\to\infty$, we obtain the limit distributions of the number of vertices in strata of these forests.This research was supported by the Russian Foundation for Basic Research, grant 97–01–00065. 
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     author = {Yu. L. Pavlov and I. A. Cheplyukova},
     title = {Limit distributions of the number of vertices in strata of a simply generated forest},
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Yu. L. Pavlov; I. A. Cheplyukova. Limit distributions of the number of vertices in strata of a simply generated forest. Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 97-112. http://geodesic.mathdoc.fr/item/DM_1999_11_1_a6/