Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators
arXiv:math-ph/9907023 · doi:10.1007/s002220050288
Abstract
Neat stuff about eigenfunctions, transfer matrices, and a.c. spectrum of one-dimensional Schrodinger operators
33 pages, AMS-TeX
Cited by in corpus (83)
- Schrödinger Operators with Dynamically Defined Potentials: A Survey
- Sharp Phase transitions for the almost Mathieu operator
- Uniform spectral properties of one-dimensional quasicrystals, III. -continuity
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Gordon-type arguments in the spectral theory of one-dimensional quasicrystals
- Singular spectrum of Lebesgue measure zero for one-dimensional quasicrystals
- The absolutely continuous spectrum of the almost Mathieu operator
- Almost reducibility and absolute continuity I
- Spectral theory of extended Harper's model and a question by Erdős and Szekeres
- The absolutely continuous spectrum of one-dimensional Schr"odinger operators
- Singular Continuous Spectrum for the Laplacian on Certain Sparse Trees
- Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices
- Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles
- Holder continuity of absolutely continuous spectral measures for one-frequency Schrodinger operators
- Generic Continuous Spectrum for Ergodic Schr"odinger Operators
- Ballistic Transport for Limit-Periodic Jacobi Matrices with Applications to Quantum Many-Body Problems
- Universal reflective-hierarchical structure of quasiperiodic eigenfunctions and sharp spectral transition in phase
- Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators
- Landauer-Büttiker formula and Schrödinger conjecture
- Probabilistic averages of Jacobi operators
- Critical almost Mathieu operator: hidden singularity, gap continuity, and the Hausdorff dimension of the spectrum
- Central Limit Theorems for Biorthogonal Ensembles and Asymptotics of Recurrence Coefficients
- Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
- Uniform spectral properties of one-dimensional quasicrystals, II. The Lyapunov exponent
- Generalized reflection coefficients
- Tosio Kato's Work on Non--Relativistic Quantum Mechanics
- Twelve Tales in Mathematical Physics: An Expanded Heinemann Prize Lecture
- One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics
- Hölder Continuity of the Spectral Measures for One-Dimensional Schrödinger Operator in Exponential Regime
- On the Essential Spectrum of Schrödinger Operators on Trees
- A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies
- Spectrum of Lebesgue measure zero for Jacobi matrices of quasicrystals
- Stability of Asymptotics of Christoffel-Darboux Kernels
- Strong resonant tunneling, level repulsion and spectral type for one-dimensional adiabatic quasi-periodic Schrödinger operators
- On the uniform distribution of the Prüfer angles and its implication to a sharp spectral transition of Jacobi matrices with randomly sparse perturbations
- A family of Schrödinger operators whose spectrum is an interval
- Schrödinger Operators Defined by Interval Exchange Transformations
- Perturbations of Orthogonal Polynomials With Periodic Recursion Coefficients
- Spectral Theory of one-channel operators and application to absolutely continuous spectrum for Anderson type models
- Schrödinger operators with complex sparse potentials
- Finite Gap Jacobi Matrices: A Review
- Universal hierarchical structure of quasiperiodic eigenfunctions
- Half-line eigenfunction estimates and singular continuous spectrum of zero Lebesgue measure
- Reflectionless Herglotz functions and generalized Lyapunov exponents
- What is the absolutely continuous spectrum?
- Conductance and absolutely continuous spectrum of 1D samples
- The dynamics of a class of quasi-periodic Schrödinger cocycles
- Persistence under Weak Disorder of AC Spectra of Quasi-Periodic Schroedinger operators on Trees Graphs
- Ballistic transport for one-dimensional quasiperiodic Schrödinger operators
- Scattering the geometry of weighted graphs
- Almost localization and almost reducibility
- Sparse Block-Jacobi Matrices with Exact Hausdorff Dimension
- Pointwise Decay of Fourier-Stieltjes transform of the Spectral Measure for Jacobi Matrices with Faster-than-Exponential Sparse Perturbations
- Progress in the mathematical theory of quantum disordered systems
- On the Essential Spectrum of Schrödinger Operators on Graphs
- CMV matrices: Five years after
- Substitution Dynamical Systems: Characterization of Linear Repetitivity and Applications
- Uniform spectral properties of one-dimensional quasicrystals, IV. Quasi-Sturmian potentials
- bounded variation and absolutely continuous spectrum of Jacobi matrices
- Spectral Properties of Schrödinger Operators With Pattern Sturmian Potentials
- Absolutely continuous spectrum of Stark operators
- Spectral and Dynamical Properties of Certain Random Jacobi Matrices with Growing Parameters
- On absolutely continuous spectrum for one-channel unitary operators
- Stahl--Totik regularity for continuum Schrödinger operators
- Upper Bounds in Quantum Dynamics
- Metal-insulator transition for the almost Mathieu operator
- A Condition of Boshernitzan and Uniform Convergence in the Multiplicative Ergodic Theorem
- Equilibrium measures and capacities in spectral theory
- Arnoux-Rauzy Subshifts: Linear Recurrence, Powers, and Palindromes
- Projection methods for discrete Schrodinger operators
- Sparse Potentials With Fractional Hausdorff Dimension
- Reflection symmetries of almost periodic functions
- Schrodinger Operators on Graphs
- Absolutely Continuous Spectrum of Multifrequency Quasiperiodic Schrödinger operator
- Analytic quasi-periodic Schrödinger operators and rational frequency approximants
- The essential spectrum of Schrodinger, Jacobi, and CMV operators
- Barrier nonsubordinacy and absolutely continuous spectrum of block Jacobi matrices
- Natural Boundaries and Spectral Theory
- The Nevai Condition
- Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations
- Cantor Singular Continuous Spectrum for Operators Along Interval Exchange Transformations
- Generalized Bounded Variation and Inserting point masses
- Monotone Jacobi parameters and non-Szego weights