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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Regularity of the spectrum for the almost Mathieu operator
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by Norbert Riedel PDF
Proc. Amer. Math. Soc. 129 (2001), 1681-1687 Request permission

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
  • 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