Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials
Abstract
Let H be a quasiperiodic Schr\"odinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent L(E), arithmetic properties of the frequency α, and certain fractal-dimensional properties of the spectral measures of H.
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