Localization for discrete one-dimensional random word models☆
Localization for discrete one-dimensional random word models☆
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DOI：
10.1016/j.jfa.2003.07.011
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发表时间：
2002-11
影响因子：
1.7
通讯作者：
D. Damanik;Robert Sims;G. Stolz
中科院分区：
文献类型：
--
作者：
D. Damanik;Robert Sims;G. Stolz
We consider Schrödinger operators in ℓ2( Z ) whose potentials are obtained by randomly concatenating words from an underlying set W according to some probability measure ν on W . Our assumptions allow us to consider models with local correlations, such as the random dimer model or, more generally, random polymer models. We prove spectral localization and, away from a finite set of exceptional energies, dynamical localization for such models. These results are obtained by employing scattering theoretic methods together with Furstenberg's theorem to verify the necessary input to perform a multiscale analysis.
