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arXiv · 2502.03707

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

Netanel Levi
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Abstract

Let $H$ be a quasiperiodic Schr\"{o}dinger 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 $H$.

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Netanel Levi. 2025-02-06. Universality of Packing Dimension Estimates for Spectral Measures of Quasiperiodic Operators: Monotone Potentials. https://arxiv.org/abs/2502.03707

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