Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localization
DOI10.4171/JST/303zbMath1453.82038OpenAlexW3025782446MaRDI QIDQ2192440
Publication date: 17 August 2020
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jst/303
density of statesAnderson localizationLifshitz tailsWegner estimateinfinite convolutions of singular measures
Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of functional analysis in quantum physics (46N50)
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Cites Work
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- Efficient localization bounds in a continuous \(N\)-particle Anderson model with long-range interaction
- Multi-scale analysis for random quantum systems with interaction
- The bootstrap multiscale analysis for the multi-particle Anderson model
- Wegner estimates for sign-changing single site potentials
- Efficient Anderson localization bounds for large multi-particle systems
- Localization for random Schrödinger operators with correlated potentials
- Moment analysis for localization in random Schrödinger operators
- A new proof of localization in the Anderson tight binding model
- Anomalies in the one-dimensional Anderson model at weak disorder
- Multi-particle Anderson localisation: Induction on the number of particles
- Localization bounds for multiparticle systems
- Harmonic analysis on SL(2,R) and smoothness of the density of states in the one-dimensional Anderson model
- A supersymmetric transfer matrix and differentiability of the density of states in the one-dimensional Anderson model
- Smoothness of the density of states in the Anderson model at high disorder
- Asymptotic completeness for quantum mechanical potential scattering. I: Short range potentials
- Anderson localization for random Schrödinger operators with long range interactions
- Seventy years of Rajchman measures
- Direct scaling analysis of localization in single-particle quantum systems on graphs with diagonal disorder
- Localization for random and quasiperiodic potentials.
- From fixed-energy localization analysis to dynamical localization: an elementary path
- Metal--insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization for random operators with non-monotone potentials with exponentially decaying correlations
- Minami's estimate: beyond rank one perturbation and monotonicity
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Bootstrap multiscale analysis and localization for multi-particle continuous Anderson Hamiltonians
- Fourier analysis of distribution functions. A mathematical study of the Laplace-Gaussian law
- Dynamical localization for a multi-particle model with an alloy-type external random potential
- Sur la convolution d'une infinité de distributions de Bernoulli
- Fourier asymptotics of Cantor type measures at infinity
- Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials
- Multiparticle localization for disordered systems on continuous space via the fractional moment method
- Sets of Uniqueness and Sets of Multiplicity. II
- Caught by disorder. Bound states in random media
- Bootstrap multiscale analysis and localization in random media
- Finite-volume fractional-moment criteria for Anderson localization
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