Global multiplicity bounds and spectral statistics for random operators
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Publication:5148347
DOI10.1142/S0129055X20500257zbMath1453.81027arXiv1803.06895OpenAlexW3000983880WikidataQ126295256 ScholiaQ126295256MaRDI QIDQ5148347
Anish Mallick, Krishna Maddaly
Publication date: 3 February 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.06895
Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Random nonlinear operators (47H40)
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Cites Work
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- Eigenfunction statistics for Anderson model with Hölder continuous single site potential
- Spectral statistics for random Schrödinger operators in the localized regime
- Eigenvalue statistics for random Schrödinger operators with non rank one perturbations
- Multiplicity bound of singular spectrum for higher rank Anderson models
- Eigenvalue statistics for lattice Hamiltonian with off-diagonal disorder
- Poisson statistics for eigenvalues of continuum random Schrödinger operators
- Moment analysis for localization in random Schrödinger operators
- Eigenfunction statistics in the localized Anderson model
- Infinite divisibility of random measures associated to some random Schrödinger operators
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Constructive proof of localization in the Anderson tight binding model
- Anderson localization for multi-dimensional systems at large disorder or large energy
- The local structure of the spectrum of the one-dimensional Schrödinger operator
- Anderson localization for random Schrödinger operators with long range interactions
- Localization at large disorder and at extreme energies: an elementary derivation
- Localization for some continuous, random Hamiltonians in \(d\)-dimensions
- Spectral structure of Anderson type Hamiltonians
- Local fluctuation of the spectrum of a multidimensional Anderson tight binding model
- Simplicity of eigenvalues in Anderson-type models
- Localization of the continuous Anderson Hamiltonian in 1-d
- Poisson statistics for 1d Schrödinger operators with random decaying potentials
- Minami's estimate: beyond rank one perturbation and monotonicity
- Inverse tunneling estimates and applications to the study of spectral statistics of random operators on the real line
- The Canophy graph and level statistics for random operators on trees
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Simplicity of eigenvalues in the Anderson model
- New characterizations of the region of complete localization for random Schrödinger operators
- Simplicity of singular spectrum in Anderson-type Hamiltonians
- Determining spectra in quantum theory.
- Jakšić-Last theorem for higher rank perturbations
- Dynamical localization for a multi-particle model with an alloy-type external random potential
- DISTRIBUTION OF LOCALIZATION CENTERS IN SOME DISCRETE RANDOM SYSTEMS
- An Invitation to Random Schroedinger operators
- Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
- On Matrix-Valued Herglotz Functions
- CYCLIC VECTORS IN THE ANDERSON MODEL
- Direct integrals and spectral averaging
- Poisson Statistics for Anderson Model with Singular Randomness
- Spectral statistics of random Schrödinger operator with growing potential
- On multiplicity of spectrum for Anderson type operators with higher rank perturbations
- An Introduction to the Theory of Point Processes
- Caught by disorder. Bound states in random media
- Bootstrap multiscale analysis and localization in random media
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