Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
From MaRDI portal
Publication:2688995
DOI10.2140/apde.2022.15.2061OpenAlexW3039975626MaRDI QIDQ2688995
Publication date: 6 March 2023
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.00578
discrepancymultiscale analysisAnderson localizationsemialgebraic setsCartan's techniqueslarge-deviation theorem
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Periodic and quasi-periodic flows and diffeomorphisms (37C55)
Related Items
Quasiperiodic solutions to nonlinear random Schrödinger equations at fixed potential realizations ⋮ Power law logarithmic bounds of moments for long range operators in arbitrary dimension ⋮ Localization and regularity of the integrated density of states for Schrödinger operators on \(\mathbb{Z}^d\) with \(C^2\)-cosine like quasi-periodic potential ⋮ Upper bounds on quantum dynamics in arbitrary dimension ⋮ A “lifting” method for exponential large deviation estimates and an application to certain non-stationary 1D lattice Anderson models ⋮ Pointwise modulus of continuity of the Lyapunov exponent and integrated density of states for analytic multi-frequency quasi-periodic M(2,C) cocycles ⋮ Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation ⋮ Spacetime quasiperiodic solutions to a nonlinear Schrödinger equation on Z
Cites Work
- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- Bounds on the density of states for Schrödinger operators
- Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- Sequences, discrepancies and applications
- Combinatorial rigidity for unicritical polynomials
- Hölder continuity of the rotation number for quasi-periodic co-cycles in \({SL(2, \mathbb R)}\)
- \(L^2\)-reducibility and localization for quasiperiodic operators
- Localization for a class of one dimensional quasi-periodic Schrödinger operators
- Anderson localization for multi-frequency quasi-periodic operators on \(\mathbb{Z}^d\)
- Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
- An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
- Positivity and continuity of the Lyapunov exponent for shifts on \(\mathbb T^d\) with arbitrary frequency vector and real analytic potential
- Almost localization and almost reducibility
- Global theory of one-frequency Schrödinger operators
- Anderson localization for time quasi-periodic random Schrödinger and wave equations
- Fine properties of the integrated density of states and a quantitative separation property of the Dirichlet eigenvalues
- Almost periodic Schrödinger operators. IV. The Maryland model
- \(C^ k\)-resolution of semialgebraic mappings, addendum to volume growth and entropy
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- On bounding the Betti numbers and computing the Euler characteristic of semi-algebraic sets
- Anderson localization for the almost Mathieu equation: A nonperturbative proof
- Hölder regularity of integrated density of states for the almost Mathieu operator in a perturbative regime
- Absolutely continuous spectrum for 1D quasiperiodic operators.
- Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
- Homogeneity of the spectrum for quasi-periodic Schrödinger operators
- Sharp phase transitions for the almost Mathieu operator
- Non-perturbative positive Lyapunov exponent of Schrödinger equations and its applications to skew-shift mapping
- Anderson localization for two interacting quasiperiodic particles
- Universal hierarchical structure of quasiperiodic eigenfunctions
- Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
- Analytic quasi-perodic cocycles with singularities and the Lyapunov exponent of extended Harper's model
- Anderson localization for the discrete one-dimensional quasi-periodic Schrödinger operator with potential defined by a Gevrey-class function
- Methods of KAM-theory for long-range quasi-periodic operators on \({\mathbb{Z}}^{\nu}\). Pure point spectrum
- Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential
- Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential
- Estimates on Green's functions, localization and the quantum kicked rotor model.
- Metal-insulator transition for the almost Mathieu operator
- Exact dynamical decay rate for the almost Mathieu operator
- Quantitative continuity of singular continuous spectral measures and arithmetic criteria for quasiperiodic Schrödinger operators
- Space quasi-periodic standing waves for nonlinear Schrödinger equations
- Anderson localization for Jacobi matrices associated with high-dimensional skew shifts
- On point spectrum of critical almost Mathieu operators
- Localization for quasiperiodic Schrödinger operators with multivariable Gevrey potential functions
- Upper bounds on the spectral gaps of quasi-periodic Schrödinger operators with Liouville frequencies
- Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators
- On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling
- Complex cellular structures
- Anderson localization for the almost Mathieu operator in the exponential regime
- Full measure reducibility and localization for quasiperiodic Jacobi operators: a topological criterion
- Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- Quasi-periodic solutions of nonlinear random Schrödinger equations
- Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling
- Anderson localization for the completely resonant phases
- Sharp Hölder continuity of the Lyapunov exponent of finitely differentiable quasi-periodic cocycles
- Spectral theory of the multi-frequency quasi-periodic operator with a Gevrey type perturbation
- Dynamics and spectral theory of quasi-periodic Schrödinger-type operators
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- Quasi-Periodic Solutions to Nonlinear PDEs
- Large Deviation Estimates and Hölder Regularity of the Lyapunov Exponents for Quasi-periodic Schrödinger Cocycles
- Almost Mathieu operators with completely resonant phases
- QUANTITATIVE ALMOST REDUCIBILITY AND ITS APPLICATIONS
- Arithmetic Spectral Transitions for the Maryland Model
- Hölder continuity of the spectral measures for one-dimensional Schrödinger operator in exponential regime
- Metrical Theorems on Fractional Parts of Sequences
- 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
- On the integrated density of states for Schrödinger operators on \(\mathbb Z^2\) with quasi periodic potential
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
