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Spectral localization in the hierarchical Anderson model
Author(s):
Evgenij
Kritchevski
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1431-1440.
MSC (2000):
Primary 47B80, 47A55, 93A13.
Posted:
November 13, 2006
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Abstract:
We prove that a large class of hierarchical Anderson models with spectral dimension  has only pure point spectrum.
References:
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- Molchanov, S.: Lectures on random media. Lectures on probability theory (Saint-Flour, 1992), 242-411, Lecture Notes in Math., 1581, Springer, Berlin, 1994. MR 1307415 (95m:60165)
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- [SW]
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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
DOI:
10.1090/S0002-9939-06-08614-X
PII:
S 0002-9939(06)08614-X
Received by editor(s):
December 8, 2005
Posted:
November 13, 2006
Additional Notes:
This work was supported in part by an FQRNT grant.
Communicated by:
Mikhail Shubin
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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