Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic behavior of discrete holomorphic maps z^c, log(z) and
  discrete Painleve transcedents   It is shown that discrete analogs of z^c and log(z) have the same asymptotic
behavior as their smooth counterparts. These discrete maps are described in
terms of special solutions of discrete Painleve-II equations, asymptotics of
these solutions providing the behaviour of discrete z^c and log(z) at infinity.

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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn