Arithmetic version of Anderson localization for a class of $C^2$ quasiperiodic Schrödinger operators (Q6582842)

scientific article; zbMATH DE number 7891902

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English	Arithmetic version of Anderson localization for a class of $C^2$ quasiperiodic Schrödinger operators	scientific article; zbMATH DE number 7891902

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title

Arithmetic version of Anderson localization for a class of $C^2$ quasiperiodic Schrödinger operators (English)

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Journal of Mathematical Physics

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publication date

5 August 2024

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MaRDI profile type

Publication

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cites work

On nonperturbative localization with quasi-periodic potential.

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Q2702142

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Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function

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Localization for quasiperiodic Schrödinger operators with multivariable Gevrey potential functions

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Anderson localization for quasi-periodic lattice Schrödinger operators on $\mathbb Z^d$, $d$ arbitrary

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Anderson localization for Schrödinger operators on $\mathbb{Z}^2$with quasi-periodic potential

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Anderson localization for multi-frequency quasi-periodic operators on $\mathbb{Z}^d$

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

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Localization for a class of one dimensional quasi-periodic Schrödinger operators

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Metal-insulator transition for the almost Mathieu operator

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Absolutely continuous spectrum for 1D quasiperiodic operators.

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Arithmetic version of Anderson localization via reducibility

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Localization and regularity of the integrated density of states for Schrödinger operators on $\mathbb{Z}^d$ with $C^2$-cosine like quasi-periodic potential

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Uniform positivity and continuity of Lyapunov exponents for a class of $C^2$ quasiperiodic Schrödinger cocycles

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Uniform positivity of Lyapunov exponent for a class of smooth Schrödinger cocycles with weak Liouville frequencies

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Sharp phase transitions for the almost Mathieu operator

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$L^2$-reducibility and localization for quasiperiodic operators

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On the almost reducibility conjecture

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The arithmetic version of the frequency transition conjecture: new proof and generalization

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

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Identifiers

zbMATH Open document ID

1543.47078

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DOI

10.1063/5.0157371

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6582842

Arithmetic version of Anderson localization for a class of \(C^2\) quasiperiodic Schrödinger operators (Q6582842)

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Sitelinks

Mathematics(1 entry)