Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domino tilings and the six-vertex model at its free fermion point   At the free-fermion point, the six-vertex model with domain wall boundary
conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem.
We study the mapping on the level of complete statistics for general domains
and boundary conditions. This is obtained by associating to both models a set
of non-intersecting lines in the Lindstroem-Gessel-Viennot (LGV) scheme. One of
the consequence for DWBC is that the boundaries of the ordered phases are
described by the Airy process in the thermodynamic limit.

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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci