Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials

Abstract

Let $H$ be a quasiperiodic Schrödinger operator generated by a monotone potential, as defined in [16]. Following [20], we study the connection between the Lyapunov exponent $L\left(E\right)$, arithmetic properties of the frequency $\alpha$, and certain fractal-dimensional properties of the spectral measures of $H$.

16 pages; second draft. Minor errors corrected