Limit-periodic Schrödinger operators with Lipschitz continuous IDS

Damanik, David; Fillman, Jake

doi:10.1090/proc/14354

Authors: David Damanik and Jake Fillman
Journal: Proc. Amer. Math. Soc. 147 (2019), 1531-1539
MSC (2010): Primary 47B36
DOI: https://doi.org/10.1090/proc/14354
Published electronically: December 12, 2018
MathSciNet review: 3910418
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Abstract: We show that there exist limit-periodic Schrödinger operators such that the associated integrated density of states is Lipschitz continuous. These operators arise in the inverse spectral theoretic KAM approach of Pöschel.

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