Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
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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.
2015 ◽
Vol DMTCS Proceedings, 27th...
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2009 ◽
Vol 30
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pp. 1318-1322
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2015 ◽
Vol 46
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pp. 126-133
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1984 ◽
Vol 17
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pp. 19-45
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2000 ◽
Vol 210
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pp. 71-85
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2010 ◽
Vol DMTCS Proceedings vol. AN,...
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