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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 256, Pages 212–223
(Mi znsl978)
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This article is cited in 11 scientific papers (total in 11 papers)
Central limit theorem for random strict partition
Yu. V. Yakubovich Saint-Petersburg State University
Abstract:
We consider a set of partitions of number $n$ on distinct summands (so called strict partitions) with uniform distribution on it. We investigate fluctuations of random partition near its limit shape, for large $n$. Usage of geometrical language allows to state the problem in terms of limit behaviour of random step functions (Young
diagram). Central limit theorem for such functions is proven.
The method of investigation essentially uses the notion of large canonical ensemble of partitions.
Received: 24.06.1999
Citation:
Yu. V. Yakubovich, “Central limit theorem for random strict partition”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part III, Zap. Nauchn. Sem. POMI, 256, POMI, St. Petersburg, 1999, 212–223; J. Math. Sci. (New York), 107:5 (2001), 4296–4304
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https://www.mathnet.ru/eng/znsl978 https://www.mathnet.ru/eng/znsl/v256/p212
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Abstract page: | 196 | Full-text PDF : | 73 |
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