Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pointwise rotation for homeomorphisms with integrable distortion and
  controlled compression   We obtain sharp rotation bounds for homeomorphisms
$f:\mathbb{C}\to\mathbb{C}$ whose distortion is in $L^p_{loc}$, $p\geq1$, and
whose inverse have controlled modulus of continuity. The interest in this class
is partially motivated by examples arising from fluid mechanics. We also
present examples proving sharpness in a strong sense.

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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: nlin