On the spectrum of critical almost Mathieu operators in the rational case
File(s) UpperBoundAMO15.pdf (240.08 KB)
Accepted version
Author(s)
Jitomirskaya, Svetlana
Konstantinov, Lyuben
Krasovsky, Igor
Type
Journal Article
Abstract
We derive a new Chambers-type formula and prove sharper upper bounds on the measure of the spectrum of critical almost Mathieu operators with rational frequencies.
Date Issued
2022-03-24
Date Acceptance
2020-12-31
Citation
Journal of Spectral Theory, 2022, 12 (1)
ISSN
1664-039X
Publisher
European Mathematical Society
Journal / Book Title
Journal of Spectral Theory
Volume
12
Issue
1
Copyright Statement
© 2022 EMS Publishing House. All rights reserved.
Sponsor
The Leverhulme Trust
Identifier
https://www.ems-ph.org/journals/show_abstract.php?issn=1664-039X&vol=12&iss=1&rank=2&srch=searchterm%7COn+the+spectrum+of+critical+almost+Mathieu+operators+in+the+rational+case
Grant Number
RPG-2018-260
Subjects
0101 Pure Mathematics
Publication Status
Published
