On the Continuity of the Integrated Density of States in the Disorder
Keyword(s):
Ky Fan
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Abstract Recently, Hislop and Marx studied the dependence of the integrated density of states on the underlying probability distribution for a class of discrete random Schrödinger operators and established a quantitative form of continuity in weak* topology. We develop an alternative approach to the problem, based on Ky Fan inequalities, and establish a sharp version of the estimate of Hislop and Marx. We also consider a corresponding problem for continual random Schrödinger operators on $\mathbb{R}^d$.
2019 ◽
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pp. 253-259
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Vol 2020
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pp. 515-533
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2004 ◽
pp. 97-183
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pp. 1-8
2000 ◽
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pp. 8231-8240
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pp. 469-498
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