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We prove estimates on the H\"older exponent of the density of states measurefor discrete Schr\"odinger operators with potential of the form $V(n) =\lambda(\lfloor(n+1)\beta\rfloor - \lfloor n\beta\rfloor)$, with $\lambda$large enough, and conclude that for almost all values of $\beta$, the densityof states measure is not H\"older continuous.

Frequency dependence of H\"older continuity for quasiperiodic Schr\"odinger operators