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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Regularity of the spectrum for the almost Mathieu operator


Author: Norbert Riedel
Journal: Proc. Amer. Math. Soc. 129 (2001), 1681-1687
MSC (2000): Primary 47A10, 47B39, 46L05, 31A05, 11J04
Published electronically: October 31, 2000
MathSciNet review: 1814097
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Abstract: It is shown that the logarithmic potential associated with the integrated density of states is constant on the spectrum of the almost Mathieu operator in case the irrational frequency is sufficiently well approximable by rationals in terms of a diophantine condition.


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Additional Information

Norbert Riedel
Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05752-X
PII: S 0002-9939(00)05752-X
Received by editor(s): September 9, 1999
Published electronically: October 31, 2000
Communicated by: David R. Larson
Article copyright: © Copyright 2000 American Mathematical Society