Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple explanation for the "shuffling phenomenon'' for lozenge tilings
  of dented hexagons   In a recent paper, Lai and Rohatgi proved a "shuffling theorem" for lozenge
tilings of a hexagon with "dents" (i.e., missing triangles). Here, we shall
point out that this follows immediately from the enumeration of
Gelfand--Tsetlin patterns with given bottom row. This observation is also
contained in a recent preprint of Byun.

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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: physics