Limit-periodic Schrödinger operators with Lipschitz continuous IDS
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- by David Damanik and Jake Fillman
- Proc. Amer. Math. Soc. 147 (2019), 1531-1539
- DOI: https://doi.org/10.1090/proc/14354
- Published electronically: December 12, 2018
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.References
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Bibliographic Information
- David Damanik
- Affiliation: Department of Mathematics, Rice University, Houston, Texas 77005
- MR Author ID: 621621
- Email: damanik@rice.edu
- Jake Fillman
- Affiliation: Department of Mathematics, Virginia Polytechnic Institute and State University, 225 Stanger Street, Blacksburg, Virginia 24061
- MR Author ID: 1065002
- Email: fillman@vt.edu
- Received by editor(s): July 6, 2018
- Published electronically: December 12, 2018
- Additional Notes: The first author was supported in part by NSF grants DMS–1361625 and DMS–1700131.
The second author was supported in part by an AMS-Simons Travel Grant, 2016–2018 - Communicated by: Michael Hitrik
- © Copyright 2018 by the authors
- Journal: Proc. Amer. Math. Soc. 147 (2019), 1531-1539
- MSC (2010): Primary 47B36
- DOI: https://doi.org/10.1090/proc/14354
- MathSciNet review: 3910418