Log-dimensional spectral properties of one-dimensional quasicrystals

DOI10.1090/S0002-9939-02-06747-3zbMath1075.81024arXivmath-ph/0201009OpenAlexW1913103137MaRDI QIDQ4804071

M. Landrigan, David Damanik

Publication date: 10 April 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0201009

zbMATH Keywords

Sturmian potentialsschrödinger operatorsHausdorff dimensional spectral properties

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Linear difference operators (47B39)

Related Items (4)

Log-dimensional spectral properties of one-dimensional quasicrystals ⋮ Fine dimensional properties of spectral measures ⋮ Scaling estimates for solutions and dynamical lower bounds on wavepacket spreading ⋮ Dynamical upper bounds for one-dimensional quasicrystals

Cites Work

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• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• \(\alpha\)-continuity properties of one-dimensional quasicrystals
• Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity.
• Power law subordinacy and singular spectra. II: Line operators.
• Power-law subordinacy and singular spectra. I: Half-line operators
• Spectral properties of one dimensional quasi-crystals
• Quantum dynamics and decompositions of singular continuous spectra
• Log-dimensional spectral properties of one-dimensional quasicrystals

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