Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polygonal billiards with one side scattering   We study polygonal billiards with one-sided vertical mirror scattered on a
square billiard table. We associate trajectories of these kinds of billiards
with double rotations and study orbit behavior and questions of complexity.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat