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Regularity of the spectrum for the almost Mathieu operator
Author(s):
Norbert
Riedel
Journal:
Proc. Amer. Math. Soc.
129
(2001),
1681-1687.
MSC (2000):
Primary 47A10, 47B39, 46L05, 31A05, 11J04
Posted:
October 31, 2000
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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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- [P]
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Additional Information:
Norbert
Riedel
Affiliation:
Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
DOI:
10.1090/S0002-9939-00-05752-X
PII:
S 0002-9939(00)05752-X
Received by editor(s):
September 9, 1999
Posted:
October 31, 2000
Communicated by:
David R. Larson
Copyright of article:
Copyright
2000,
American Mathematical Society
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