Plancherel Averages: Remarks on a Paper by Stanley

Abstract

Let Mn stand for the Plancherel measure on Yn, 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 Y of all Young diagrams, the average of G with respect to Mn depends on n polynomially. We propose two other proofs of this result together with a generalization to the… (More)

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Cite this paper

@article{Olshanski2010PlancherelAR, title={Plancherel Averages: Remarks on a Paper by Stanley}, author={Grigori Olshanski}, journal={Electr. J. Comb.}, year={2010}, volume={17} }