Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces
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Publication:5000225
DOI10.1063/5.0042994zbMath1475.37031arXiv2102.02839OpenAlexW3169212889MaRDI QIDQ5000225
Roman Shterenberg, Leonid Parnovski, I. V. Kachkovskiy, Stanislav Krymski
Publication date: 9 July 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.02839
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Related Items (3)
Introduction to the Special Issue: In memory of Jean Bourgain ⋮ Arithmetic phase transitions for mosaic Maryland model ⋮ Convergence of perturbation series for unbounded monotone quasiperiodic operators
Cites Work
- Bounds on the density of states for Schrödinger operators
- Singular continuous spectrum for singular potentials
- Localization in \(\nu\)-dimensional incommensurate structures
- An exactly solvable model of a multidimensional incommensurate structure
- Almost periodic Schrödinger operators. IV. The Maryland model
- All couplings localization for quasiperiodic operators with monotone potentials
- Perturbation theory for linear operators.
- Convergence of perturbation series for unbounded monotone quasiperiodic operators
- Localization near the edge for the Anderson Bernoulli model on the two dimensional lattice
- Localization for quasiperiodic operators with unbounded monotone potentials
- Pure point spectrum for the Maryland model: a constructive proof
- Arithmetic Spectral Transitions for the Maryland Model
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