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This article is cited in 3 scientific papers (total in 3 papers)
A limit theorem on the shape of Ferrers graphs
L. R. Mutafchiev
Abstract:
We study the asymptotic behaviour of the $s$th
largest part $L_{s,n}$ in a random partition of a positive integer
$n$ as $n\to\infty$. The weak convergence of the distribution of $L_{s,n}$
to the Gaussian distribution is established provided $s$ is of order
$n^{1/2}$ and $n\to\infty$. The work was supported by the Bulgarian Ministry of Education, Science, and
Technologies, contract 705/97. A part of the work was done during
author's visit at the Steklov Mathematical Institute of the Russian Academy of
Sciences.
Received: 19.09.1998
Citation:
L. R. Mutafchiev, “A limit theorem on the shape of Ferrers graphs”, Diskr. Mat., 11:1 (1999), 76–96; Discrete Math. Appl., 9:1 (1999), 79–100
Linking options:
https://www.mathnet.ru/eng/dm365https://doi.org/10.4213/dm365 https://www.mathnet.ru/eng/dm/v11/i1/p76
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Abstract page: | 313 | Full-text PDF : | 217 | First page: | 1 |
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