Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics for the number of standard tableaux of skew shape and for
  weighted lozenge tilings   We prove and generalize a conjecture in arXiv:1610.0474(4) 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 categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph