Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal mapping in linear time   Given any $\epsilon >0$ and any planar region $\Omega$ bounded by a simple
n-gon $P$ we construct a ($1 + \epsilon)$-quasiconformal map between $\Omega$
and the unit disk in time $C(\epsilon)n$. One can take $ C(\epsilon) = C + C
\log (1/\epsilon) \log \log (1/\epsilon)$.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin