Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A brief remark on orbits of $SL(2,Z)$ in the euclidean plane   The repartition of dense orbits of $\textrm{SL}(2,\dr Z)$ in the euclidean
plane is described by Ledrappier and Nogueira. We describe here the specific
patterns one can see by experimentation, linking it to diophantine
approximation theory.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph