High energy asymptotics of the integrated density of states of almost periodic pseudo-differential operators
30 mins 44 secs,
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About this item
| Description: |
Morozov, S (Ludwig-Maximilians-Universität München)
Wednesday 08 April 2015, 16:00-16:25 |
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| Created: | 2015-04-13 10:12 |
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| Collection: | Periodic and Ergodic Spectral Problems |
| Publisher: | Isaac Newton Institute |
| Copyright: | Morozov, S |
| 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: | The existence of complete asymptotic expansion for the integrated density of states in the high energy regime was long conjectured for periodic Schrödinger operators. I will discuss the history of the subject and present an eventual solution in the multidimensional situation. It turns out that the result applies to a big class of almost periodic pseudo-differential operators with smooth symbols. The proof is based on an application of the gauge transform discussed in the minicourse of A. Sobolev during the introductory workshop. The talk is based on a joint work with L. Parnovski and R. Shterenberg. |
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