Plancherel averages: Remarks on a paper by Stanley
Combinatorics
2010-03-23 v2
Abstract
Let M_n stand for the Plancherel measure on Y_n, the set of Young diagrams with n boxes. A recent result of 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 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.
Cite
@article{arxiv.0905.1304,
title = {Plancherel averages: Remarks on a paper by Stanley},
author = {Grigori Olshanski},
journal= {arXiv preprint arXiv:0905.1304},
year = {2010}
}
Comments
Latex, 16 pp. Version 2: minor corrections, references added