M Krishna
Continuity of integrated density of states -- independent randomness
(27K, AMS-TeX)

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 
distribution. 
Our results are valid for models with independent randomness with arbitrary 
free parts. 
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.