Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley
  bijection   We prove a recent conjecture by Ren\'e Marczinzik involving certain
statistics on Dyck paths that originate in the representation theory of
Nakayama algebras of a linearly oriented quiver. We do so by analysing the
effect of the Billey-Jockusch-Stanley bijection between Dyck paths and
321-avoiding permutations on these statistics, which was suggested by the
result of a query issued to the online database FindStat.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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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: chao-dyn
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The categories of this paper are: q-bio
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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: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom