Geodesic
On the probability of the event: in~$n$ generalized allocation schemes the volume of each cell does not exceed~$r$
Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 14-21

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We consider $n$ identical generalized schemes of allocating particles in cells. We study the probability of the event: for each generalized allocation scheme, there are at most $r$ particles in each cell, where $r$ is a given number. We obtain an asymptotic estimate for this probability and we consider the application of the obtained results to an antinoise coding.
Keywords: generalized allocation scheme, Cauchy integral, Hamming code. 
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     author = {A. I. Afonina and I. R. Kayumov and A. N. Chuprunov},
     title = {On the probability of the event: in~$n$ generalized allocation schemes the volume of each cell does not exceed~$r$},
     journal = {Ufa mathematical journal},
     pages = {14--21},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2016_8_2_a1/}
}
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A. I. Afonina; I. R. Kayumov; A. N. Chuprunov. On the probability of the event: in~$n$ generalized allocation schemes the volume of each cell does not exceed~$r$. Ufa mathematical journal, Tome 8 (2016) no. 2, pp. 14-21. http://geodesic.mathdoc.fr/item/UFA_2016_8_2_a1/