Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of Loewner Curves   The Loewner equation encrypts a growing simple curve in the plane into a
real-valued driving function. We show that if the driving function $\lambda$ is
in $C^{\beta}$ with $\beta>2$ (or real analytic) then the Loewner curve is in
$C^{\beta + \frac{1}{2}}$ (respectively analytic). This is a converse to a
result by Earle and Epstein and extends a result of Wong.

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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph