38 citations · 237 across the 33 of their papers we have counts for
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math-ph2010★ 38 cited
Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
Alexander Elgart, Martin Tautenhahn, Ivan Veselic'
A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a ran…
math.SP2010★ 17 cited
Localization criteria for Anderson models on locally finite graphs
Martin Tautenhahn
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 fo…
math.SP2010★ 17 cited
Spectral properties of discrete alloy-type models
Martin Tautenhahn, Ivan Veselić
We discuss recent results on spectral properties of discrete alloy-type random Schrödinger operators. They concern Wegner estimates and bounds on the fractional moments of the Gree…