Localization for Anderson models on metric and discrete tree graphs
From MaRDI portal
Publication:2308332
DOI10.1007/s00208-019-01912-6zbMath1436.05027arXiv1902.07290OpenAlexW2976819607WikidataQ127210830 ScholiaQ127210830MaRDI QIDQ2308332
Jake Fillman, David Damanik, Selim Sukhtaiev
Publication date: 3 April 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.07290
Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Related Items
Random Hamiltonians with arbitrary point interactions in one dimension ⋮ Localization for random quasi-one-dimensional models ⋮ An Agmon estimate for Schrödinger operators on graphs ⋮ Lyapunov exponents: recent applications of Fürstenberg's theorem in spectral theory ⋮ Zero measure and singular continuous spectra for quantum graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization for transversally periodic random potentials on binary trees
- Eigenvalue estimates for Schrödinger operators on metric trees
- Random matrix products and measures on projective spaces
- Transfer matrices, hyperbolic geometry and absolutely continuous spectrum for some discrete Schrödinger operators on graphs
- Geometry of Sobolev spaces on regular trees and the Hardy inequalities
- Absolutely continuous spectrum for the Anderson model on a tree: a geometric proof of Klein's theorem
- Singular continuous spectrum for the Laplacian on certain sparse trees
- Absolutely continuous spectra of quantum tree graphs with weak disorder
- Subharmonicity of the Lyapunov index
- Ergodic theory of differentiable dynamical systems
- Dynamical localization for discrete and continuous random Schrödinger operators
- Fractals, trees and the Neumann Laplacian
- Scattering by obstacles of finite capacity
- Extended states in the Anderson model on the Bethe lattice
- On Agmon metrics and exponential localization for quantum graphs
- On the essential spectrum of Schrödinger operators on trees
- On the spectrum of Schrödinger operators with a random potential
- Localization for one-dimensional, continuum, Bernoulli-Anderson models.
- Absolutely continuous spectrum in the Anderson model on the Bethe lattice
- Spreading of wave packets in the Anderson model on the Bethe lattice
- Parametric Furstenberg theorem on random products of \(\mathrm{SL}(2, \mathbb{R})\) matrices
- On the decomposition of the Laplacian on metric graphs
- Limits of quantum graph operators with shrinking edges
- Large deviations of the Lyapunov exponent and localization for the 1D Anderson model
- Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly
- Resonant delocalization for random Schrödinger operators on tree graphs
- Anderson localization for radial tree graphs with random branching numbers
- Localization for the Anderson model on trees with finite dimensions
- Stability of the absolutely continuous spectrum of random Schrödinger operators on tree graphs
- Lower transport bounds for one-dimensional continuum Schrödinger operators
- Anderson localization for radial tree-like random quantum graphs
- Heat Kernels of Metric Trees and Applications
- Spectral analysis of certain spherically homogeneous graphs
- Distributions and Operators
- Remarks about Hardy inequalities on metric trees
- On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees
- An Invitation to Random Schroedinger operators
- SINGULAR SPECTRUM FOR RADIAL TREES
- SCHRÖDINGER OPERATORS ON HOMOGENEOUS METRIC TREES: SPECTRUM IN GAPS
- Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
- Weighted Hardy and Poincaré Inequalities on Trees
- Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent
- On the spectrum of the Laplacian on regular metric trees
- Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
- Noncommuting Random Products
- Caught by disorder. Bound states in random media
- Anderson localization for Schrödinger operators on \(\mathbb{Z}\) with strongly mixing potentials.
- Hölder continuity of the integrated density of states for quasi-periodic Schrödinger equations and averages of shifts of subharmonic functions
- The lamplighter group as a group generated by a 2-state automaton, and its spectrum