Regularity of the spectrum for the almost Mathieu operator

被引：2
|
作者：
Riedel, N [1 ]
机构：
[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 06期
关键词：
D O I：
10.1090/S0002-9939-00-05752-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：1681 / 1687
页数：7
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