Key points are not available for this paper at this time.
Michael Goldstein, Wilhelm Schlag, Hölder Continuity of the Integrated Density of States for Quasi-Periodic Schrödinger Equations and Averages of Shifts of Subharmonic Functions, Annals of Mathematics, Second Series, Vol. 154, No. 1 (Jul., 2001), pp. 155-203
Goldstein et al. (Sun,) studied this question.