Bounds on the density of states for Schrödinger operators
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Publication:378062
DOI10.1007/s00222-012-0440-1zbMath1362.35113arXiv1112.1716OpenAlexW3098935834WikidataQ102037702 ScholiaQ102037702MaRDI QIDQ378062
Publication date: 11 November 2013
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.1716
Smoothness and regularity of solutions to PDEs (35B65) Schrödinger operator, Schrödinger equation (35J10)
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Cites Work
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- Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices
- Remark on the continuity of the density of states of ergodic finite difference operators
- Subharmonicity of the Lyapunov index
- Elliptic partial differential equations of second order
- A characterization of the Anderson metal-insulator transport transition
- A comprehensive proof of localization for continuous Anderson models with singular random potentials
- An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators
- On localization in the continuous Anderson-Bernoulli model in higher dimension
- Harmonic Function Theory
- Schrödinger semigroups
- Local behavior of solutions of general linear elliptic equations
- The existence of eigenvalues of infinite multiplicity for the Schrödinger operator
- On the density of states of Schrodinger operators with a random potential
- On the Local Behavior of Solutions of Non-Parabolic Partial Differential Equations
- A remark on the Dirichlet-Neumann decoupling and the integrated density of states
- The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields
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