Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation (Q2680337)

scientific article; zbMATH DE number 7637558

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English	Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation	scientific article; zbMATH DE number 7637558

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instance of

scholarly article

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title

Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation (English)

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author

Yunfeng Shi

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published in

Journal d'Analyse Mathématique

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publication date

29 December 2022

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full work available at URL

https://arxiv.org/abs/1909.08772

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Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling

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A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies

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The Ten Martini problem

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Almost localization and almost reducibility

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Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles

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On the measure of the spectrum for the almost Mathieu operator

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Sharp phase transitions for the almost Mathieu operator

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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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Absolutely continuous spectrum for 1D quasiperiodic operators.

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Anderson localization for two interacting quasiperiodic particles

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Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials

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A metal-insulator transition for the almost Mathieu model

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Estimates on Green's functions, localization and the quantum kicked rotor model.

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On the spectrum of lattice Schrödinger operators with deterministic potential. II.

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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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The absolutely continuous spectrum of finitely differentiable quasi-periodic Schrödinger operators

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Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles

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Purely absolutely continuous spectrum for almost Mathieu operators

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Methods of KAM-theory for long-range quasi-periodic operators on \({\mathbb{Z}}^{\nu}\). Pure point spectrum

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Absence of localisation in the almost Mathieu equation

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

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Discrete one-dimensional quasi-periodic Schrödinger operators with pure point spectrum

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Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles

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Absence of diffusion in the Anderson tight binding model for large disorder or low energy

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

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Exponential Dynamical Localization: Criterion and Applications

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Hölder continuity of the rotation number for quasi-periodic co-cycles in \({SL(2, \mathbb R)}\)

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Semi-classical analysis for Harper's equation. III : Cantor structure of the spectrum

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Absolutely continuous spectrum of multifrequency quasiperiodic Schrödinger operator

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Anderson localization for the almost Mathieu equation: A nonperturbative proof

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Metal-insulator transition for the almost Mathieu operator

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Continuity of the measure of the spectrum for discrete quasiperiodic operators

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\(L^2\)-reducibility and localization for quasiperiodic operators

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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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Anderson localization for one-frequency quasi-periodic block operators with long-range interactions

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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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Zero measure spectrum for the almost Mathieu operator

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A nonperturbative Eliasson's reducibility theorem

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Analytic solutions of nonlinear elliptic equations on rectangular tori

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

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Q5388761

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Identifiers

Mathematics Subject Classification ID

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10.1007/S11854-022-0230-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2680337