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arXiv · 1310.8553

Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators

Paul Munger
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Abstract

We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form $V(n) = λ(\lfloor(n+1)β\rfloor - \lfloor nβ\rfloor)$, with $λ$ large enough, and conclude that for almost all values of $β$, the density of states measure is not Hölder continuous.

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Paul Munger. 2013-12-17. Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators. https://arxiv.org/abs/1310.8553

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