Classification of the automorphisms of the noncommutative torus among   the (chaotic and non-chaotic) shallow ones and the non-chaotic complex ones
  Adopting the measure of quantum complexity, the quantum logical depth, previously introduced by the author the automorphisms of the noncommutative torus are classified among the (chaotic and non-chaotic) shallow ones and the non-chaotic complex ones. 
Gavriel Segre
math-ph math.MP