Limit-periodic Schrödinger operators with Lipschitz continuous IDS
Date
2019
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American Mathematical Society
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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Damanik, David and Fillman, Jake. "Limit-periodic Schrödinger operators with Lipschitz continuous IDS." Proceedings of the American Mathematical Society, 147, (2019) American Mathematical Society: 1531-1539. https://doi.org/10.1090/proc/14354 .
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