An explicit skew-shift Schr\"odinger operator with positive Lyapunov   exponent at small coupling
  I give an example of a skew-shift Schr\"odinger operator with positive Lyapunov exponent in the spectrum for all positive coupling constant with constant frequency. This is the first example of this kind.   The proof is based on CMV operators given by the skew-shift. Further results on these are derived. 
Helge Kr\"uger
math.SP