On Descents in Standard Young Tableaux

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/E2, is bounded if and only if a certain inequality relating the tableau shape to the descent function holds.

• Type: Journal
• Year: 2000
• Where: COMBINATORICS
• Authors: Peter A. Hästö
• Keywords: COMBINATORICS 2000, Descent Function, Explicit Formulae, Standard Young Tableaux