Geodesic
On descents in standard Young tableaux
The electronic journal of combinatorics, Tome 7 (2000)

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Zbl arXiv
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 the tableau shape to the descent function holds.
DOI : 10.37236/1537
Classification : 05E10, 05A15
Mots-clés : expectation, variance, Young tableaux, descent function 
Peter A. Hästö. On descents in standard Young tableaux. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1537
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     author = {Peter A. H\"ast\"o},
     title = {On descents in standard {Young} tableaux},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1537},
     zbl = {0953.05078},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1537/}
}
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