Localization for quasiperiodic operators with unbounded monotone potentials

DOI10.1016/j.jfa.2019.03.017zbMath1481.47043arXiv1807.00732OpenAlexW2963274746MaRDI QIDQ2324730

I. V. Kachkovskiy

Publication date: 12 September 2019

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00732

zbMATH Keywords

integrated density of statesAnderson localizationlarge deviation theoremMaryland modelquasiperiodic operator

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Discrete version of topics in analysis (39A12) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (9)

Hölder regularity of the integrated density of states for quasi-periodic long-range operators on \(\ell^2(\mathbb{Z}^d)\) ⋮ Arithmetic phase transitions for mosaic Maryland model ⋮ Decay of multi-point correlation functions in \(\mathbb{Z}^d\) ⋮ Diagonalization in a quantum kicked rotor model with non-analytic potential ⋮ Anderson localization for a generalized Maryland model with potentials given by skew shifts ⋮ Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces ⋮ Convergence of perturbation series for unbounded monotone quasiperiodic operators ⋮ Anderson localization for long-range operators with singular potentials ⋮ Analyticity of the Lyapunov exponent of meromorphic monotonic cocycles

Cites Work

• Singular continuous spectrum for singular potentials
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• Metal-insulator transition for the almost Mathieu operator
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• Schrödinger semigroups
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• Arithmetic Spectral Transitions for the Maryland Model
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