Limit-periodic Schrödinger operators with Lipschitz continuous IDS
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
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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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Additional 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
Article copyright:
© Copyright 2018
by the authors
