Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators

2013/10/31 by Munger, Paul · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1310.8553

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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• The fibered rotation number

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