Geodesic
On descents in standard Young tableaux
The electronic journal of combinatorics, Tome 7 (2000)
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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 
@article{10_37236_1537,
     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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%J The electronic journal of combinatorics
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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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