On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
From MaRDI portal
Publication:842483
DOI10.1007/s00220-008-0667-2zbMath1188.47023arXiv0807.4339OpenAlexW2103575534MaRDI QIDQ842483
Publication date: 25 September 2009
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.4339
Topological dynamics (37B99) Difference operators (39A70) Random linear operators (47B80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Dynamical systems with hyperbolic behavior (37D99)
Related Items (31)
An extension of the Kunz-Souillard approach to localization in one dimension and applications to almost-periodic Schrödinger operators ⋮ Almost periodicity in time of solutions of the KdV equation ⋮ Density of positive Lyapunov exponents for 𝑆𝐿(2,ℝ)-cocycles ⋮ Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization ⋮ Spectral approximation for ergodic CMV operators with an application to quantum walks ⋮ Unbounded trace orbits of Thue-Morse Hamiltonian ⋮ Limit-periodic Schrödinger operators with a discontinuous Lyapunov exponent ⋮ Thin spectra and singular continuous spectral measures for limit‐periodic Jacobi matrices ⋮ Localization for almost-periodic operators with power-law long-range hopping: a Nash-Moser iteration type reducibility approach ⋮ Schrödinger operators with dynamically defined potentials ⋮ Dirac operators with operator data of Wigner-von Neumann type ⋮ Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle ⋮ A characterization of singular packing subspaces with an application to limit-periodic operators ⋮ Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ Multidimensional almost-periodic Schrödinger operators with Cantor spectrum ⋮ Generic zero-Hausdorff and one-packing spectral measures ⋮ Ballistic transport for limit-periodic Jacobi matrices with applications to quantum many-body problems ⋮ Continuum Schrödinger operators associated with aperiodic subshifts ⋮ Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks ⋮ Limit-periodic Schrödinger operators in the regime of positive Lyapunov exponents ⋮ Singular density of states measure for subshift and quasi-periodic Schrödinger operators ⋮ Optimality of log Hölder continuity of the integrated density of states ⋮ Density of positive Lyapunov exponents for symplectic cocycles ⋮ Construction of quasiperiodic Schrödinger operators with Cantor spectrum ⋮ Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows ⋮ Limit-periodic Dirac operators with thin spectra ⋮ Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials ⋮ Limit-periodic Schrödinger operators with uniformly localized eigenfunctions ⋮ Multiscale analysis for ergodic Schrödinger operators and positivity of Lyapunov exponents ⋮ Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles ⋮ Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems
Cites Work
- On the measure of the spectrum for the almost Mathieu operator
- Generic singular spectrum for ergodic Schrödinger operators
- Almost periodic Schrödinger operators. I: Limit periodic potentials
- Equilibrium measures and capacities in spectral theory
- Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling
This page was built for publication: On the spectrum and Lyapunov exponent of limit periodic Schrödinger operators
