Geodesic
Random mappings with bounded multiplicity
Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 440-449 
A. A. Grusho. Random mappings with bounded multiplicity. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 440-449. http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a2/
@article{TVP_1972_17_3_a2,
     author = {A. A. Grusho},
     title = {Random mappings with bounded multiplicity},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {440--449},
     year = {1972},
     volume = {17},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a2/}
}
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This paper is closely connected to [1]. Let $\mathfrak M_n^{(t)}$ be the class of mappings of a finite set into itself such that each element has at most $t$ pre-images. Mappings of $\mathfrak M_n^{(t)}$ being distributed uniformly, limiting distributions of random variables connected with the graph of a random mapping are found.