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math.CO2016
Asymptotics of the number of standard Young tableaux of skew shape
Alejandro Morales, Igor Pak, Greta Panova
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 form…
math.CO2016★ 35 cited
Hook formulas for skew shapes II. Combinatorial proofs and enumerative applications
Alejandro H. Morales, Igor Pak, Greta Panova
The Naruse hook-length formula is a recent general formula for the number of standard Young tableaux of skew shapes, given as a positive sum over excited diagrams of products of ho…