Alejandro Morales, Igor Pak, Greta Panova
Published 2016-10-24Version 1
We give new bounds and asymptotic estimates on the number of standard Young tableaux of skew shape in a variety of special cases. Our approach is based on Naruse's hook-length formula. We also compare our bounds with the existing bounds on the numbers of linear extensions of the corresponding posets.
Generalized Schröder paths and Young tableaux with skew shapes
Series expansions for $1/π^m$ and $π^m$
Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
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