Spectral characteristics of Schrödinger operators generated by product systems
DOI10.4171/jst/445zbMath1528.35037arXiv2203.11739MaRDI QIDQ6111652
Jake Fillman, Philipp Gohlke, David Damanik
Publication date: 4 August 2023
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11739
Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Symbolic dynamics (37B10) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ground state energy of trimmed discrete Schrödinger operators and localization for trimmed Anderson models
- The trimmed Anderson model at strong disorder: localisation and its breakup
- The rotation number for finite difference operators and its properties
- Localization of random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues
- Substitutions in dynamics, arithmetics and combinatorics
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
- Band edge localization beyond regular Floquet eigenvalues
- Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials
- Global theory of one-frequency Schrödinger operators
- Substitution dynamical systems. Spectral analysis
- Uniform spectral properties of one-dimensional quasicrystals. IV. Quasi-Sturmian potentials
- A condition for minimal interval exchange maps to be uniquely ergodic
- Exponential dichotomy, rotation number, and linear differential operators with bounded coefficients
- An example of a measure preserving map with minimal self-joinings, and applications
- The rotation number for almost periodic potentials
- Positive Lyapunov exponents for Schrödinger operators with quasi- periodic potentials
- Anderson localization for random Schrödinger operators with long range interactions
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- Localization for discrete one-dimensional random word models.
- Uniform spectral properties of one-dimensional quasicrystals. I: Absence of eigenvalues
- Subcritical behavior for quasi-periodic Schrödinger cocycles with trigonometric potentials
- A comprehensive proof of localization for continuous Anderson models with singular random potentials
- Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
- Uniform hyperbolicity and its relation with spectral analysis of 1D discrete Schrödinger operators
- Mixed random-quasiperiodic cocycles
- Must the spectrum of a random Schrödinger operator contain an interval?
- Spectral statistics for Anderson models with sporadic potentials
- Random Schrödinger operators with a background potential
- Decidability, arithmetic subsequences and eigenvalues of morphic subshifts
- Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly
- Uniform convergence of Schrödinger cocycles over simple Toeplitz subshift
- Substitution dynamical systems: characterization of linear repetitivity and applications
- A condition of Boshernitzan and uniform convergence in the multiplicative ergodic theorem
- Valeurs propres des systèmes dynamiques définis par des substitutions de longueur variable
- D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets
- The Metric Theory of Interval Exchange Transformations I. Generic Spectral Properties
- A condition for unique ergodicity of minimal symbolic flows
- The spectrum of dynamical systems arising from substitutions of constant length
- Localization for random perturbations of periodic Schrödinger operators
- Schrödinger operators with dynamically defined potentials
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Substitution dynamical systems : algebraic characterization of eigenvalues
- One-Dimensional Ergodic Schrödinger Operators
- ON TYPICALITY OF TRANSLATION FLOWS WHICH ARE DISJOINT WITH THEIR INVERSE
- Recognizability for sequences of morphisms
- The Anderson model with missing sites
- On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrödinger operators in the adiabatic limit
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
- Topological mixing for substitutions on two letters
- NECESSARY AND SUFFICIENT CONDITIONS TO BE AN EIGENVALUE FOR LINEARLY RECURRENT DYNAMICAL CANTOR SYSTEMS
- On the spectrum of the periodic Anderson–Bernoulli model
- On nonperturbative localization with quasi-periodic potential.
- Uniform singular continuous spectrum for the period doubling Hamiltonian
- Lectures on Choquet's theorem
This page was built for publication: Spectral characteristics of Schrödinger operators generated by product systems