Almost Sure Frequency Independence of the Dimension of the Spectrum of   Sturmian Hamiltonians
  We consider the spectrum of discrete Schr\"odinger operators with Sturmian potentials and show that for sufficiently large coupling, its Hausdorff dimension and its upper box counting dimension are the same for Lebesgue almost every value of the frequency. 
David Damanik (Rice University), Anton Gorodetski (UC Irvine)
math.SP math-ph math.DS math.MP