Wegner estimate for sparse and other generalized alloy type potentials

DOI10.1007/BF02829646zbMath1003.60064OpenAlexW2141340527WikidataQ59312032 ScholiaQ59312032MaRDI QIDQ1599746

Ivan Veselić, Werner Kirsch

Publication date: 9 January 2003

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02829646

zbMATH Keywords

random Schrödinger operatorsdensity of statesWegner estimatenonstationary potentialssingular distribution of coupling constants

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Random nonlinear operators (47H40)

Related Items (9)

Wegner estimates and localization for Gaussian random potentials ⋮ Characterization of the Anderson metal-insulator transition for non ergodic operators and application ⋮ From uncertainty principles to Wegner estimates ⋮ Some abstract Wegner estimates with applications ⋮ Wegner estimate for a nonsign definite generalized alloy type potential ⋮ An uncertainty principle, Wegner estimates and localization near fluctuation boundaries ⋮ Continuity of integrated density of states -- independent randomness ⋮ Wegner estimates for some random operators with Anderson-type surface potentials ⋮ Spectral analysis of percolation Hamiltonians

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random Hamiltonians ergodic in all but one direction
• A new proof of localization in the Anderson tight binding model
• Absence of diffusion in the Anderson tight binding model for large disorder or low energy
• 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
• Dynamical localization for continuum random surface models
• Spectral structure of Anderson type Hamiltonians
• On the spectrum of the Schrödinger operator with periodic surface potential
• The Wegner estimate and the integrated density of states for some random operators
• Anderson localization for Bernoulli and other singular potentials
• Localization for one-dimensional, continuum, Bernoulli-Anderson models.
• The integrated density of states for some random operators with nonsign definite potentials
• Localization for some continuous random Schrödinger operators
• Wegner estimates and Anderson localization for alloy-type potentials
• Localization of surface spectra
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• Localization for random perturbations of periodic Schrödinger operators
• ANDERSON LOCALIZATION FOR A MULTIDIMENSIONAL MODEL INCLUDING LONG RANGE POTENTIALS AND DISPLACEMENTS
• Two-parameter spectral averaging and localization for non-monotonic random Schrödinger operators
• ON THE SPECTRAL AND SCATTERING THEORY OF THE SCHRÖDINGER OPERATOR WITH SURFACE POTENTIAL
• THE DENSITY OF STATES AND THE SPECTRAL SHIFT DENSITY OF RANDOM SCHRÖDINGER OPERATORS
• Anderson model with decaying randomness: Mobility edge
• Caught by disorder. Bound states in random media
• Surface states and spectra.
• The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.
• The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials

This page was built for publication: Wegner estimate for sparse and other generalized alloy type potentials