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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jfg-volume-6-issue-1.png&w=3840&q=90)
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