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J. M. Combes, P. D. Hislop, F. Klopp
Holder continuity of the integrated density of states for some random operators at all energies
(76K, LaTex 2e)
ABSTRACT. We prove that the integrated density of states of random \Schr\
operators with Anderson-type potentials on $L^2 ( \R^d)$, for $d \geq
1$, is locally H{\"o}lder continuous at all energies. The single-site
potential $u$ must be nonnegative and compactly supported, and the
distribution of the random variable must be absolutely continuous with
a bounded, compactly supported density. We also prove this result for
random Anderson-type perturbations of the Landau Hamiltonian in
two-dimensions under a rational flux condition.