On localization and homogeneity for analytic quasi-periodic Schrödinger operators with Gevrey perturbation (Q6599741)

scientific article; zbMATH DE number 7908362

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English	On localization and homogeneity for analytic quasi-periodic Schrödinger operators with Gevrey perturbation	scientific article; zbMATH DE number 7908362

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instance of

scholarly article

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title

On localization and homogeneity for analytic quasi-periodic Schrödinger operators with Gevrey perturbation (English)

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author

Kai Tao

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published in

Communications on Pure and Applied Analysis

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publication date

6 September 2024

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zbMATH Keywords

quasi-periodic Schrödinger operator

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Gevrey perturbation

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Diophantine frequency

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Anderson localization

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homogeneous spectrum

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MaRDI profile type

Publication

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cites work

Sharp phase transitions for the almost Mathieu operator

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Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)

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

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On nonperturbative localization with quasi-periodic potential.

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Anderson localization for Schrödinger operators on \(\mathbb Z\) with potentials given by the skew-shift

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

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

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Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials

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Homogeneity of the spectrum for quasi-periodic Schrödinger operators

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Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions

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Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues

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Large deviation theorems for Dirichlet determinants of analytic quasi-periodic Jacobi operators with Brjuno-Rüssmann frequency

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Metal-insulator transition for the almost Mathieu operator

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Universal hierarchical structure of quasiperiodic eigenfunctions

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

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Sharp Hölder continuity of the integrated density of states for extended Harper's model with a Liouville frequency

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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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Quantitative inductive estimates for Green's functions of non-self-adjoint matrices

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Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies

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Exponential decay of the lengths of the spectral gaps for the extended Harper's model with a Liouvillean frequency

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Exponential upper bounds on the spectral gaps and homogeneous spectrum for the non-critical extended Harper's model

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Homogeneous spectrum of quasi-periodic Gevrey Schrödinger operators with Diophantine frequency

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6599741