Localization criteria for Anderson models on locally finite graphs

Details Localization criteria for Anderson models on locally finite graphs Localization criteria for Anderson models on locally finite graphs

2010-08-26

arxiv.org/abs/1008.4503v5

Mathematics

Spectral Theory

Scientific paper

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 $\ZZ^d$. 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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