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- W2181844499 abstract "We review recent results on localization for discrete alloy- type models based on the multiscale analysis and the fractional mo- ment method, respectively. The discrete alloy-type model is a family of Schrodinger operators Hω = � + Vω on l 2 (Z d ) whereis the discrete Laplacian and Vω the multiplication by the function Vω(x) = P k2Zd ωku(x k). Here ωk, k 2 Z d , are i.i.d. random variables and u 2 l 1 (Z d ;R) is a so-called single-site potential. Since u may change sign, certain properties of Hω depend in a non-monotone way on the random parameters ωk. This requires new methods at certain stages of the localization proof." @default.
- W2181844499 created "2016-06-24" @default.
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- W2181844499 date "2011-01-01" @default.
- W2181844499 modified "2023-09-27" @default.
- W2181844499 title "ALLOY-TYPE POTENTIAL" @default.
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