Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Riemann-Hilbert approach to the generating function of the higher
  order Airy point processes   We prove a Tracy-Widom type formula for the generating function of occupancy
numbers on several disjoint intervals of the higher order Airy point processes.
The formula is related to a new vector-valued Painlev\'e II hierarchy we
define, together with its Lax pair.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc