Regularity of the spectrum for the almost Mathieu operator
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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.References
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Additional Information
- Norbert Riedel
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- Received by editor(s): September 9, 1999
- Published electronically: October 31, 2000
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1681-1687
- MSC (2000): Primary 47A10, 47B39, 46L05, 31A05, 11J04
- DOI: https://doi.org/10.1090/S0002-9939-00-05752-X
- MathSciNet review: 1814097