2000/07/31 by Peter A. Hasto
Mathematics · #math.CO #msc:05E10 #msc:05A15
published as Electronic J. Combinatorics 7(2000), R59 · 12 pages, 9 figures
arxiv created 2000/12/05 · arxiv updated 2009/11/30
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 tableau shape to the descent function holds.