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Discrete Schrödinger Operators with Random Alloy-type Potential

Elgart, Alexander and Krüger, Helge and Tautenhahn, Martin and Veselić, Ivan (2012) Discrete Schrödinger Operators with Random Alloy-type Potential. In: Spectral Analysis of Quantum Hamiltonians. Operator Theory Advances and Applications. No.224. Springer Basel , New York, pp. 107-131. ISBN 978-3-0348-0413-4.

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We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type model is a family of Schrödinger operators

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Additional Information:© 2012 Springer Basel.
Subject Keywords:Multiscale analysis; fractional moment method; Cartan’s Theorem; localization; discrete alloy-type model; non-monotone; sign-indefinite; singlesite potential
Series Name:Operator Theory Advances and Applications
Issue or Number:224
Classification Code:Mathematics Subject Classification (2010): 82B44, 60H25, 35J10.
Record Number:CaltechAUTHORS:20121109-140541448
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:35394
Deposited By: Jason Perez
Deposited On:13 Nov 2012 16:32
Last Modified:09 Nov 2021 23:14

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