TY - JOUR
T1 - Continuity with respect to disorder of the integrated density of states
AU - Hislop, Peter D.
AU - Klopp, Frédéric
AU - Schenker, Jeffrey H.
PY - 2005
Y1 - 2005
N2 - We prove that the integrated density of states (IDS) associated to a random Schrödinger operator is locally uniformly Hölder continuous as a function of the disorder parameter λ. In particular, we obtain convergence of the IDS, as λ → 0, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy.
AB - We prove that the integrated density of states (IDS) associated to a random Schrödinger operator is locally uniformly Hölder continuous as a function of the disorder parameter λ. In particular, we obtain convergence of the IDS, as λ → 0, to the IDS for the unperturbed operator at all energies for which the IDS for the unperturbed operator is continuous in energy.
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U2 - 10.1215/ijm/1258138226
DO - 10.1215/ijm/1258138226
M3 - Article
AN - SCOPUS:33745644487
SN - 0019-2082
VL - 49
SP - 893
EP - 904
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 3
ER -