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Arithmetic version of Anderson localization via reducibility (Q2216466)

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Language	Label	Description	Also known as
English	Arithmetic version of Anderson localization via reducibility	scientific article

Statements

scholarly article

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Arithmetic version of Anderson localization via reducibility (English)

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Geometric and Functional Analysis. GAFA

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publication date

16 December 2020

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full work available at URL

https://arxiv.org/abs/2003.13946

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zbMATH Keywords

Anderson localization

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MaRDI profile type

MaRDI publication profile

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Global theory of one-frequency Schrödinger operators

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The Ten Martini problem

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Almost localization and almost reducibility

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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 \(\mathbb{Z}^2\)with quasi-periodic potential

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Absolutely continuous spectrum for 1D quasiperiodic operators.

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

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

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

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Duality and singular continuous spectrum in the almost Mathieu equation

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Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2

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Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems

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Metal-insulator transition for the almost Mathieu operator

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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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The rotation number for almost periodic potentials

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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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A relation between a.c. spectrum of ergodic Jacobi matrices and the spectra of periodic approximants

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A nonperturbative Eliasson's reducibility theorem

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

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Identifiers

zbMATH Open document ID

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10.1007/s00039-020-00549-x

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2216466

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