Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A two dimensional lattice equation as an extension of the Heideman-Hogan
  recurrence   We consider a two dimensional extension of the so-called linearizable
mappings. In particular, we start from the Heideman-Hogan recurrence, which is
known as one of the linearizable Somos-like recurrences, and introduce one of
its two dimensional extensions. The two dimensional lattice equation we present
is linearizable in both directions, and has the Laurent and the coprimeness
properties. Moreover, its reduction produces a generalized family of the
Heideman-Hogan recurrence. Higher order examples of two dimensional
linearizable lattice equations related to the Dana-Scott recurrence are also
discussed.

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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th