Published August 1990
| public
Journal Article
On the measure of the spectrum for the almost Mathieu operator
- Creators
- Avron, J.
- v. Mouche, P. H. M.
-
Simon, B.
Chicago
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Abstract
We obtain partial results on the conjecture that for the almost Mathieu operator at irrational frequency, α, the measure of the spectrum, S(α, λ, ϑ)=|4–2|λ‖. For |λ|≠2 we show that if α_n is rational and α_n→α irrational, then S+(α_n,λ,θ)→|4−2|λ||.
Additional Information
© 1990 Springer-Verlag. Received: 04 December 1989. Research partially supported by U.S. NSF grant number DMS-8801918 and by BSF under grant number 88-00325.Additional details
- Eprint ID
- 83025
- Resolver ID
- CaltechAUTHORS:20171107-100226114
- NSF
- DMS-8801918
- Binational Science Foundation (USA-Israel)
- 88-00325
- Created
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2017-11-07Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field