Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents

DOI10.1016/j.jfa.2010.03.002zbMath1191.47058arXiv0906.3340OpenAlexW2962881879MaRDI QIDQ973948

Zheng Gan, David Damanik

Publication date: 26 May 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.3340

zbMATH Keywords

Lyapunov exponentsingular continuous spectrumlimit-periodic Schrödinger operator

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

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Cites Work

• Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian
• Spectral properties of limit-periodic Schrödinger operators
• Examples of discrete Schrödinger operators with pure point spectrum
• On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
• Subharmonicity of the Lyapunov index
• Structure of the spectrum of a lacunary-limit-periodic Schrödinger operator
• Almost periodic Schrödinger operators. I: Limit periodic potentials
• The spectrum of the weakly coupled Fibonacci Hamiltonian
• Limit-periodic Schrödinger operators with uniformly localized eigenfunctions
• Equilibrium measures and capacities in spectral theory
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