Polynomiality of certain average weights for oscillating tableaux
Combinatorics
2017-09-05 v1
Abstract
We prove that a family of average weights for oscillating tableaux are polynomials in two variables, namely, the length of the oscillating tableau and the size of the ending partition, which generalizes a result of Hopkins and Zhang. Several explicit and asymptotic formulas for the average weights are also derived.
Cite
@article{arxiv.1709.00635,
title = {Polynomiality of certain average weights for oscillating tableaux},
author = {Guo-Niu Han and Huan Xiong},
journal= {arXiv preprint arXiv:1709.00635},
year = {2017}
}
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12 pages