Continuous spectrum for a class of smooth mixing Schr\"odinger operators
  We give the first example of a smooth volume preserving mixing dynamical system such that the discrete Schr\"odinger operators on the line defined with a potential generated by this system and a H\"older sampling function, have almost surely a continuous spectrum. 
Bassam Fayad and Yanhui Qu
math.DS math-ph math.MP math.SP