• Continuity of Integrated Density of States - Independent Randomness

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      https://www.ias.ac.in/article/fulltext/pmsc/117/03/0401-0410

    • Keywords

       

      Density of states; Wegner estimate; Hölder continuous.

    • Abstract

       

      In this paper we discuss the continuity properties of the integrated density of states for random models based on that of the single site distribution. Our results are valid for models with independent randomness with arbitrary free parts. In particular in the case of the Anderson type models (with stationary, growing, decaying randomness) on the 𝑣 dimensional lattice, with or without periodic and almost periodic backgrounds, we show that if the single site distribution is uniformly 𝛼-Hölder continuous, $0 < \alpha \leq 1$, then the density of states is also uniformly 𝛼-Hölder continuous.

    • Author Affiliations

       

      M Krishna1

      1. Institute for Mathematical Sciences, Taramani, Chennai 600 113, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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