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

2025/02/06 by Levi, Netanel
#47B36 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2502.03707

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(E), arithmetic properties of the frequency α, and certain fractal-dimensional properties of the spectral measures of H.

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