Positive lyapounov exponents for most energies
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Publication:2702141
DOI10.1007/BFb0107207zbMath1160.81381MaRDI QIDQ2702141
Publication date: 5 July 2001
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Difference operators (39A70) Linear difference operators (47B39)
Related Items (8)
On the existence of embedded eigenvalues ⋮ Probabilistic averages of Jacobi operators ⋮ Localization for quasiperiodic Schrödinger operators with multivariable Gevrey potential functions ⋮ Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts ⋮ On the spectrum of lattice Schrödinger operators with deterministic potential ⋮ Effective multi-scale approach to the Schrödinger cocycle over a skew-shift base ⋮ A family of Schrödinger operators whose spectrum is an interval ⋮ Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents
Cites Work
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- Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
- Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
- Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
- Metal-insulator transition for the almost Mathieu operator
- Pseudo-randomness and localization
- On nonperturbative localization with quasi-periodic potential.
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
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