Geodesic
Plancherel averages: remarks on a paper by Stanley
The electronic journal of combinatorics, Tome 17 (2010)
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Let $M_n$ stand for the Plancherel measure on ${\Bbb Y}_n$, the set of Young diagrams with $n$ boxes. A recent result of R. P. Stanley (arXiv: 0807.0383) says that for certain functions $G$ defined on the set ${\Bbb Y}$ of all Young diagrams, the average of $G$ with respect to $M_n$ depends on $n$ polynomially. We propose two other proofs of this result together with a generalization to the Jack deformation of the Plancherel measure.
DOI : 10.37236/315
Classification : 05E05
Mots-clés : Plancherel measure, Young diagrams, Jack deformation 
@article{10_37236_315,
     author = {Grigori Olshanski},
     title = {Plancherel averages: remarks on a paper by {Stanley}},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/315},
     zbl = {1193.05161},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/315/}
}
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Grigori Olshanski. Plancherel averages: remarks on a paper by Stanley. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/315

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