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Continuity of integrated density of states -- independent randomness
ABSTRACT. In this paper we discuss the continuity properties of the integrated
density of states for random models based on that of the single site
Our results are valid for models with independent randomness with arbitrary
In particular in the case of the Anderson type models (with stationary, growing, decaying randomness) on the $\nu$ dimensional
lattice, with or without periodic and almost periodic backgrounds,
we show that if the single site distribution is uniformly
$\alpha$-H\"older continuous, $ 0 < \alpha \leq 1$, then
the density of states is also uniformly $\alpha$-H\"older continuous.