Hölder Equicontinuity of the Integrated Density of States at Weak Disorder
نویسنده
چکیده
Hölder continuity, |Nλ(E) − Nλ(E )| ≤ C|E − E|, with a constant C independent of the disorder strength λ is proved for the integrated density of states Nλ(E) associated to a discrete random operator H = Ho + λV consisting of a translation invariant hopping matrix Ho and i.i.d. single site potentials V with an absolutely continuous distribution, under a regularity assumption for the hopping term.
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