Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite partitions for several complex continued fraction algorithms   We present a property satisfied by a large variety of complex continued
fraction algorithms (the "finite building property") and use it to explore the
structure of bijectivity domains for natural extensions of Gauss maps.
Specifically, we show that these domains can each be given as a finite union of
Cartesian products. In one complex coordinate, the sets come from explicit
manipulation of the continued fraction algorithm, while in the other coordinate
the sets are determined by experimental means.

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: chem-ph