Limit distributions of a~characteristic of a~random mapping
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 4, pp. 841-847

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Random mappings of a set $X_n=\{1,2,\dots,n\}$ into $X_n$ is considered. Let $\lambda_r^{(n)}$ be the number of trees with $r$ vertices in such a random mapping. The limit distributions of $\lambda_r^{(n)}$ is studied when $n$, $r\to\infty$.
@article{TVP_1981_26_4_a17,
     author = {Yu. L. Pavlov},
     title = {Limit distributions of a~characteristic of a~random mapping},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {841--847},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_4_a17/}
}
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Yu. L. Pavlov. Limit distributions of a~characteristic of a~random mapping. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 4, pp. 841-847. http://geodesic.mathdoc.fr/item/TVP_1981_26_4_a17/