Spectral localization in the hierarchical Anderson model
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- by Evgenij Kritchevski PDF
- Proc. Amer. Math. Soc. 135 (2007), 1431-1440 Request permission
Abstract:
We prove that a large class of hierarchical Anderson models with spectral dimension $\textrm {d}\leq 2$ has only pure point spectrum.References
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Additional Information
- Evgenij Kritchevski
- Affiliation: Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, Quebec, Canada H3A 2K6
- Email: ekritc@math.mcgill.ca
- Received by editor(s): December 8, 2005
- Published electronically: November 13, 2006
- Additional Notes: This work was supported in part by an FQRNT grant.
- Communicated by: Mikhail Shubin
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1431-1440
- MSC (2000): Primary 47B80, 47A55, 93A13
- DOI: https://doi.org/10.1090/S0002-9939-06-08614-X
- MathSciNet review: 2276652