Phase transition and semi-global reducibility
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Publication:2510674
DOI10.1007/S00220-014-2012-2zbMath1308.34117OpenAlexW1979409785MaRDI QIDQ2510674
Publication date: 1 August 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-014-2012-2
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) General spectral theory of ordinary differential operators (34L05)
Related Items (8)
Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency ⋮ Absolutely continuous spectrum of multifrequency quasiperiodic Schrödinger operator ⋮ Non-perturbative localization with quasiperiodic potential in continuous time ⋮ Absence of eigenvalues of analytic quasi-periodic Schrödinger operators on \({\mathbb{R}}^d\) ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Global rigidity for ultra-differentiable quasiperiodic cocycles and its spectral applications ⋮ Linearization of ultra-differentiable circle flows beyond Brjuno condition ⋮ Quasiperiodic solutions of NLS with Liouvillean frequencies
Cites Work
- Embedding of analytic quasi-periodic cocycles into analytic quasi-periodic linear systems and its applications
- Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Almost localization and almost reducibility
- A normal form theorem for Brjuno skew systems through renormalization
- Explicit examples of arbitrarily large analytic ergodic potentials with zero Lyapunov exponent
- Rigidity results for quasiperiodic \(\mathrm{SL}(2, \mathbb R)\)-cocycles
- The rotation number for almost periodic potentials
- Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- The one-dimensional Schrödinger equation with a quasiperiodic potential
- On the spectrum of lattice Schrödinger operators with deterministic potential. II.
- Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
- Metal-insulator transition for the almost Mathieu operator
- Coexistence of absolutely continuous and pure point spectrum for kicked quasiperiodic potentials
- Positive Lyapunov exponent and minimality for the continuous 1-d quasi-periodic Schrödinger equation with two basic frequencies
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling
- Positive Lyapunov exponents for continuous quasiperiodic Schrödinger equations
- A nonperturbative Eliasson's reducibility theorem
- On nonperturbative localization with quasi-periodic potential.
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