Lyapunov exponents of discrete quasi-periodic Gevrey Schrödinger equations
DOI10.3934/DCDSB.2020216zbMath1471.37031OpenAlexW3039372949MaRDI QIDQ2033544
Publication date: 17 June 2021
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2020216
Schrödinger equationsLyapunov exponentDiophantine frequencyjointly continuousweak Hölder continuityGevrey perturbation
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Cites Work
- Examples of discontinuity of Lyapunov exponent in smooth quasiperiodic cocycles
- Continuity of the Lyapunov exponent for analytic quasi-periodic cocycles with singularities
- The Lyapunov exponents of generic volume-preserving and symplectic maps
- Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential
- Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
- On the multiplicative ergodic theorem for uniquely ergodic systems
- Continuity of the Lyapunov exponent for quasiperiodic operators with analytic potential
- The set of smooth quasi-periodic Schrödinger cocycles with positive Lyapunov exponent is not open
- Spectral theory of extended Harper's model and a question by Erdős and Szekeres
- Continuity of Lyapunov exponent for analytic quasi-periodic cocycles on higher-dimensional torus
- Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function
- Uniform positivity and continuity of Lyapunov exponents for a class of \(C^2\) quasiperiodic Schrödinger cocycles
- Large deviation theorems for Dirichlet determinants of analytic quasi-periodic Jacobi operators with Brjuno-Rüssmann frequency
- Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency
- Continuity of the Lyapunov exponent for analytic quasiperiodic cocycles
- Lyapunov exponents for some quasi-periodic cocycles
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Genericity of zero Lyapunov exponents
- Sur le problème de la division
- 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
This page was built for publication: Lyapunov exponents of discrete quasi-periodic Gevrey Schrödinger equations
