For γ-monotone quasiperiodic potentials, the upper packing dimension of spectral measures is at most 2(1-L/β) when L<β, and is zero when L≥β.
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Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials
For γ-monotone quasiperiodic potentials, the upper packing dimension of spectral measures is at most 2(1-L/β) when L<β, and is zero when L≥β.