On the Homogeneity of the Spectrum for Quasi-Periodic Schroedinger Operators
28 mins 39 secs,
109.54 MB,
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About this item
| Description: |
Voda, M (University of Chicago)
Friday 10 April 2015, 16:30-16:55 |
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| Created: | 2015-04-13 14:07 |
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| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Voda, M |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | Co-authors: David Damanik (Rice University), Michael Goldstein (University of Toronto), Wilhelm Schlag (University of Chicago)
I will discuss a recent result showing that the spectrum of discrete one-dimensional quasi-periodic Schroedinger operators is homogeneous in the regime of positive Lyapunov exponent. The homogeneity is in the sense of Carleson, as used in the study of the inverse spectral problem for reflectionless potentials. The talk is based on joint work with David Damanik, Michael Goldstein, and Wilhelm Schlag. |
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