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math.PRDec 1, 2010
15
citations (OpenAlex)
authors
  • Ivan Veselic
institutions
  • Chemnitz University of Technology
arXiv abstractPDF
paper

Lipschitz-continuity of the integrated density of states for Gaussian random potentials

arXiv:1012.0393 · doi:10.1007/s11005-011-0465-1

Abstract

The integrated density of states of a Schroedinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive mean, is locally uniformly Lipschitz-continuous. This is proven using a Wegner estimate.

References in corpus (1)

  • The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials

Cited by in corpus (9)

  • Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
  • Wegner estimates for sign-changing single site potentials
  • Minami's estimate: beyond rank one perturbation and monotonicity
  • Low lying eigenvalues of randomly curved quantum waveguides
  • Low lying spectrum of weak-disorder quantum waveguides
  • A Note on the Analyticity of Density of States
  • Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
  • Wegner estimate for discrete Schrödinger operators with Gaussian random potentials
  • Spectra of Random Operators with absolutely continuous Integrated Density of States
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