Descent Functions and Random Young Tableaux

Details Descent Functions and Random Young Tableaux Descent Functions and Random Young Tableaux

1999-10-29

arxiv.org/abs/math/9910165v2

Mathematics

Combinatorics

20 pages, final form; to appear in Combinatorics, Probability and Computing

Scientific paper

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.

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