Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators
Munger, Paul
Original · EN
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((n+1)β - nβ), 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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