Polynomiality of certain average weights for oscillating tableaux

Published 2 Sep 2017 in math.CO | (1709.00635v1)

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.

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