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. 
Dmitry V. Anosov, Alexey V. Klimenko, Grisha Kolutsky