Geodesic
A limit theorem on the shape of Ferrers graphs
Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 76-96 
L. R. Mutafchiev. A limit theorem on the shape of Ferrers graphs. Diskretnaya Matematika, Tome 11 (1999) no. 1, pp. 76-96. http://geodesic.mathdoc.fr/item/DM_1999_11_1_a5/
@article{DM_1999_11_1_a5,
     author = {L. R. Mutafchiev},
     title = {A limit theorem on the shape of {Ferrers} graphs},
     journal = {Diskretnaya Matematika},
     pages = {76--96},
     year = {1999},
     volume = {11},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_1999_11_1_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.