Optimality of log Hölder continuity of the integrated density of states
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Publication:3094623
DOI10.1002/mana.200910139zbMath1238.47021arXiv0906.3300OpenAlexW2049807190MaRDI QIDQ3094623
Publication date: 25 October 2011
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.3300
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random linear operators (47B80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items (7)
An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators ⋮ Hölder continuity of the integrated density of states for the Fibonacci Hamiltonian ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Schrödinger operators with dynamically defined potentials ⋮ Dynamics and spectral theory of quasi-periodic Schrödinger-type operators ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks
Cites Work
- Pure point spectrum for discrete almost periodic Schrödinger operators
- Almost periodic Schrödinger operators. II: The integrated density of states
- On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
- Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents
- Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
- Subharmonicity of the Lyapunov index
- Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents
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