Lifshitz tails for 2-dimensional random Schrödinger operators.
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Publication:1411682
DOI10.1007/BF02786575zbMath1058.47034OpenAlexW2075209813MaRDI QIDQ1411682
Thomas H. Wolff, Frédéric Klopp
Publication date: 2002
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02786575
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random linear operators (47B80)
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Cites Work
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- Localization of random perturbations of periodic Schrödinger operators with regular Floquet eigenvalues
- Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
- Analytische Faserungen über holomorph-vollständigen Räumen
- Large deviations and Lifshitz singularity of the integrated density of states of random Hamiltonians
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Semianalytic and subanalytic sets
- Several complex variables. IV. Algebraic aspects of complex analysis. Transl. from the Russian by J. Leiterer and J. Nunemacher
- Newton polyhedra and estimation of oscillating integrals
- Band edge behavior of the integrated density of states of random Jacobi matrices in dimension 1
- Anderson localization for random Schrödinger operators with long range interactions
- Internal Lifschitz singularities for one dimensional Schrödinger operators
- The Newton polyhedron and oscillatory integral operators
- Endpoints of the spectrum of periodic operators are generically simple.
- Lifshitz tails for random Schrödinger operators with negative singular Poisson potential
- On the spectrum of Schrödinger operators with a random potential
- Lifschitz singularities for periodic operators plus random potentials
- Lifshitz asymptotics via linear coupling of disorder
- Asymptotic of the density of states for the Schrödinger operator with periodic electric potential
- Internal Lifshits tails for random perturbations of periodic Schrödinger operators.
- THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS
- Localization for random perturbations of periodic Schrödinger operators
- PRECISE HIGH ENERGY ASYMPTOTICS FOR THE INTEGRATED DENSITY OF STATES OF AN UNBOUNDED RANDOM JACOBI MATRIX
- An asymptotic expansion for the density of states of a random Schrödinger operator with Bernoulli disorder
- Sur le problème de la division
- Floquet theory for partial differential equations
- Perturbation theory for the Schrödinger operator with a periodic potential
- A restriction theorem for the Fourier transform
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