Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the hyperbolic automorphisms of the 2-torus and their Markov
  partitions   In the paper we give an introduction to Anosov diffeomorphisms, ways to
represent their chaotic properties and some historical remarks on this subject.
A complete classification of hyperbolic linear automorphisms of 2-torus is
presented. We introduce a notion of pre-Markov partition for such automorphisms
and give their classification and an algorithm for their construction.

27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con