Published August 2009
| Submitted
Journal Article
Open
Singular spectrum for radial trees
- Creators
- Breuer, Jonathan
-
Frank, Rupert L.
Chicago
An error occurred while generating the citation.
Abstract
We prove several results showing that absolutely continuous spectrum for the Laplacian on radial trees is a rare event. In particular, we show that metric trees with unbounded edges have purely singular spectrum and that, generically (in the sense of Baire), radial trees have purely singular continuous spectrum.
Additional Information
© 2009 World Scientific. Received 25 March 2009; Revised 10 July 2009. We are grateful to Barry Simon for useful discussions. RF appreciates the warm hospitality of Caltech, where part of this work has been done, and acknowledges support through DAAD grant D/06/49117.Attached Files
Submitted - Breuer2009p5819Rev_Math_Phys.pdf
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Breuer2009p5819Rev_Math_Phys.pdf
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Additional details
- Eprint ID
- 16239
- Resolver ID
- CaltechAUTHORS:20091012-105116089
- Deutscher Akademischer Austauschdienst (DAAD)
- D/06/49117
- Created
-
2009-10-12Created from EPrint's datestamp field
- Updated
-
2021-11-08Created from EPrint's last_modified field