Anderson localization for radial tree-like random quantum graphs
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Publication:2837998
DOI10.1080/17455030802398132zbMath1267.81165arXivmath-ph/0611022OpenAlexW2168071692MaRDI QIDQ2837998
Publication date: 8 July 2013
Published in: Waves in Random and Complex Media (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0611022
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Cites Work
- Unnamed Item
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- Localization on quantum graphs with random vertex couplings
- Absolutely continuous spectra of quantum tree graphs with weak disorder
- Eigenfunction expansions for Schrödinger operators on metric graphs
- Expansions in generalized eigenfunctions of selfadjoint operators
- Perturbation theory for linear operators.
- Spectral convergence of quasi-one-dimensional spaces
- Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over \(\mathbb Z^d\)
- Spectral and dynamical properties of random models with nonlocal and singular interactions
- Schrödinger semigroups
- Bound states in curved quantum waveguides
- Linear Wegner estimate for alloy-type Schrödinger operators on metric graphs
- Quantum graphs: an introduction and a brief survey
- Quantum networks modelled by graphs
- Kirchhoff's rule for quantum wires
- Periodic Schrödinger operators with large gaps and Wannier-Stark ladders
- Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
- A random necklace model
- Quantum graphs: I. Some basic structures
- On the spectrum of the Laplacian on regular metric trees
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Quantum Graphs and Their Applications
- Convergence of spectra of mesoscopic systems collapsing onto a graph
- Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum
