On Descents in Standard Young Tableaux

Details On Descents in Standard Young Tableaux On Descents in Standard Young Tableaux

2000-07-03

arxiv.org/abs/math/0007016v3

Electronic J. Combinatorics 7(2000), R59

Mathematics

Combinatorics

12 pages, 9 figures

Scientific paper

In this paper, explicit formulae for the expectation and the variance of
descent functions on random standard Young tableaux are presented. Using these,
it is shown that the normalized variance, $V/E^2$, is bounded if and only if a
certain inequality relating tableau shape to the descent function holds.

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