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Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
Published online by Cambridge University Press: 18 October 2021
Abstract
We prove and generalise a conjecture in [MPP4] about the asymptotics of
$\frac{1}{\sqrt{n!}} f^{\lambda/\mu}$
, where
$f^{\lambda/\mu}$
is the number of standard Young tableaux of skew shape
$\lambda/\mu$
which have stable limit shape under the
$1/\sqrt{n}$
scaling. The proof is based on the variational principle on the partition function of certain weighted lozenge tilings.
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- © The Author(s), 2021. Published by Cambridge University Press
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