Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators

  • Paul E. Munger

    Rice University, Houston, USA
Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators cover

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Abstract

We study the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form , with large, and conclude that for almost all values of , the density of states measure is not Hölder continuous.

Cite this article

Paul E. Munger, Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators. J. Fractal Geom. 6 (2019), no. 1, pp. 53–65

DOI 10.4171/JFG/68