Descent Functions and Random Young Tableaux

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The expectation of the descent number of a random Young tableau of a fixed shape is given, and concentration around the mean is shown. This result is generalized to the major index and to other descent functions. The proof combines probabilistic arguments together with combinatorial character theory. Connections with Hecke algebras are mentioned.
20 pages, final form; to appear in Combinatorics, Probability and Computing

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Combinatorics, Probability

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http://salesiana.dossiersoluciones.com/handle/123456789/79305

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9910165
 http://arxiv.org/abs/math/9910165

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arXiv