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Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices - MaRDI portal

Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices (Q2199346)

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English	Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices	scientific article

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scholarly article

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Lyapunov behavior and dynamical localization for quasi-periodic CMV matrices (English)

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Linear Algebra and its Applications

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publication date

16 September 2020

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zbMATH Keywords

CMV matrix

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Anderson localization

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Lyapunov behavior

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dynamical localization

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quasi-periodic coefficient

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.laa.2020.07.031

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Positive Lyapunov exponents for continuous quasiperiodic Schrödinger equations

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On nonperturbative localization with quasi-periodic potential.

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Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

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Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly

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Matrix-valued SzegoÌ polynomials and quantum random walks

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Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle

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Characterizations of uniform hyperbolicity and spectra of CMV matrices

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Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices

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Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle

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Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles

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Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles

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Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks

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Spectral approximation for ergodic CMV operators with an application to quantum walks

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Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle

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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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Localization for random unitary operators

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Delocalization in random polymer models

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Orthogonal Polynomials on the Unit Circle with Verblunsky Coefficients defined by the Skew-Shift

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

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A formula related to CMV matrices and Szegő cocycles

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Anderson localization for quasi-periodic CMV matrices and quantum walks

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Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency

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Positive lyapunov exponents for quasiperiodic Szegő cocycles

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Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.LAA.2020.07.031

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Sitelinks

Mathematics(1 entry)

mardi Publication:2199346

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