Optimality of log Hölder continuity of the integrated density of states

2009/06/17 by Zheng Gan, Gan, Zheng, Helge Krueger +1 · 2 citations
Mathematics · #Markov Chains and Monte Carlo Methods #Mathematical Approximation and Integration #Spectral Theory in Mathematical Physics #math.SP #msc:47B36 #msc:47B80 #msc:81Q10

paper · pdf · doi:10.48550/arxiv.0906.3300

arxiv created 2009/06/17 · arxiv updated 2009/12/01

Abstract

We construct examples, that log Hölder continuity of the integrated density of states cannot be improved. Our examples are limit-periodic.

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• Schrödinger operators with dynamically defined potentials
• An Exposition of the Connection between Limit-Periodic Potentials and Profinite Groups

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