Spectral statistics for Anderson models with sporadic potentials

  • Werner Kirsch

    FernUniversität Hagen, Germany
  • Maddaly Krishna

    Ashoka University, Sonipat (Haryana), India
Spectral statistics for Anderson models with sporadic potentials cover
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Abstract

In this paper we consider Anderson models with a large number of sites with zero interaction. For such models we study the spectral statistics in the region of complete localization. We show that Poisson statistics holds for such energies, by proving the Minami estimate.

Cite this article

Werner Kirsch, Maddaly Krishna, Spectral statistics for Anderson models with sporadic potentials. J. Spectr. Theory 10 (2020), no. 2, pp. 581–597

DOI 10.4171/JST/305