Explicit construction of quasi-periodic analytic Schrödinger operators with Cantor spectrum (Q6663174)

scientific article; zbMATH DE number 7967060

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English	Explicit construction of quasi-periodic analytic Schrödinger operators with Cantor spectrum	scientific article; zbMATH DE number 7967060

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title

Explicit construction of quasi-periodic analytic Schrödinger operators with Cantor spectrum (English)

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Mathematische Annalen

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publication date

14 January 2025

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Publication

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cites work

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Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts

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Polynomial decay of the gap length for $C^k$ quasi-periodic Schrödinger operators and spectral application

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Q5429845

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Continuum Schrödinger operators associated with aperiodic subshifts

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Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum

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Spectral properties of limit-periodic Schrödinger operators

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On the inverse spectral problem for the quasi-periodic Schrödinger equation

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Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials

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The one-dimensional Schrödinger equation with a quasiperiodic potential

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Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation

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On resonances and the formation of gaps in the spectrum of quasi-periodic Schrödinger equations

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Rigidity of reducibility of Gevrey quasi-periodic cocycles on $\mathrm{U}(n)$

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Construction of quasiperiodic Schrödinger operators with Cantor spectrum

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The rotation number for almost periodic potentials

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Uniform convergence of Schrödinger cocycles over simple Toeplitz subshift

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Measure zero spectrum of a class of Schrödinger operators

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An example of a Schrödinger equation with almost periodic potential and nowhere dense spectrum

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An extension of a result by Dinaburg and Sinai on quasi-periodic potentials

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Cantor spectrum for the almost Mathieu operator

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Q3491982

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Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential

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Almost periodic Sturm-Liouville operators with Cantor homogeneous spectrum

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Cantor Spectrum for a Class of $C^2$ Quasiperiodic Schrödinger Operators

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QUANTITATIVE ALMOST REDUCIBILITY AND ITS APPLICATIONS

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00208-024-02918-5

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Sitelinks

Mathematics(1 entry)

mardi Publication:6663174