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Localization Criteria for Anderson Models on Locally Finite Graphs

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We prove spectral and dynamical localization for Anderson models on locally finite graphs using the fractional moment method. Our theorems extend earlier results on localization for the Anderson model on ℤd. We establish geometric assumptions for the underlying graph such that localization can be proven in the case of sufficiently large disorder.

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  1. Fakultät für Mathematik, Technische Universität Chemnitz, 09107, Chemnitz, Germany

    Martin Tautenhahn

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  1. Martin Tautenhahn
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Tautenhahn, M. Localization Criteria for Anderson Models on Locally Finite Graphs. J Stat Phys 144, 60–75 (2011). https://doi.org/10.1007/s10955-011-0248-1

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  • DOI: https://doi.org/10.1007/s10955-011-0248-1

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