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math.SPApr 14, 2010
17
citations (OpenAlex)
authors
  • Martin Tautenhahn
  • Ivan Veselić
institutions
  • Chemnitz University of Technology
arXiv abstractPDF
paper

Spectral properties of discrete alloy-type models

arXiv:1004.2385 · doi:10.1142/9789814304634_0049

Abstract

We discuss recent results on spectral properties of discrete alloy-type random Schrödinger operators. They concern Wegner estimates and bounds on the fractional moments of the Green's function.

To appear in Proceedings of ICMP 2009 (Prague)

Cited by in corpus (8)

  • Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
  • Wegner estimate for discrete alloy-type models
  • 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
  • Localization for random operators with non-monotone potentials with exponentially decaying correlations
  • Discrete alloy-type models: Regularity of distributions and recent results
  • Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
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