On the measure of the spectrum for the almost Mathieu operator |
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| Authors: | J. Avron P. H. M. v. Mouche B. Simon |
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| Affiliation: | (1) Department of Physics, Technion, Haifa, Israel;(2) Landbouwhogschool Wageningen, Vakgroep Wiskunde, Wageningen, The Netherlands;(3) Division of Physics, Mathematics, and Astronomy, California Institute of Technology, 91125 Pasadena, CA, USA |
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| Abstract: | ![]()
We obtain partial results on the conjecture that for the almost Mathieu operator at irrational frequency,  , the measure of the spectrum,S(,  ,  )=|4–2| . For || 2 we show that if n is rational and irrational, then .Dedicated to Res Jost and Arthur WightmanResearch partially supported by U.S. NSF grant number DMS-8801918 and by BSF under grant number 88-00325 |
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