Cookie-Cutter-Like Dynamic System of Unbounded Expansion

DOI10.1007/978-3-319-24747-2_8zbMath1335.81074OpenAlexW2336852877MaRDI QIDQ2799939

Qing-Hui Liu

Publication date: 14 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-24747-2_8

zbMATH Keywords

fractal dimensionsSturm Hamiltoniancookie-cutter-like

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Hausdorff and packing measures (28A78) Statistical thermodynamics (82B30) Dimension theory of smooth dynamical systems (37C45)

Cites Work

• Unnamed Item
• Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian
• Singular continuous spectrum on a Cantor set of zero Lebesgue measure for the Fibonacci Hamiltonian
• The fractal dimension of the spectrum of the Fibonacci Hamiltonian
• The spectrum of a quasiperiodic Schrödinger operator
• Some dimensional results for homogeneous Moran sets
• Hausdorff dimension of spectrum of one-dimensional Schrödinger operator with Sturmian potentials
• Uniform spectral properties of one-dimensional quasicrystals. III: \(\alpha\)-continuity.
• Power law subordinacy and singular spectra. II: Line operators.
• Spectral properties of one dimensional quasi-crystals
• The fractal dimensions of the spectrum of Sturm Hamiltonian
• Dimension of the spectrum of one-dimensional discrete Schrödinger operators with Sturmian potentials
• Gibbs-like measure for spectrum of a class of quasi-crystals
• Hyperbolicity of the trace map for the weakly coupled Fibonacci Hamiltonian

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