Duality and singular continuous spectrum in the almost Mathieu equation
نویسندگان
چکیده
منابع مشابه
Duality and singular continuous spectrum in the almost Mathieu equation
q2 a P--E~ I --+ 0 (1.2) qn I as n ~ c ~ . Then for a.e. 8, hA=2,a,o has purely singular continuous spectrum. Remarks. (1) (1.2) is used because for such a, Last [22] has proven that the spectrum, a~,~, of h~,~,e (which is 0-independent [5]) has la2,al=0 (where I" I denotes Lebesgue measure). Our proof is such that for any other a with la~=2,~ I=0 (presumably all irrational a), one has that hA=...
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ژورنال
عنوان ژورنال: Acta Mathematica
سال: 1997
ISSN: 0001-5962
DOI: 10.1007/bf02392693